You searched for subject:(Pontryagin s maximum principle)
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1.
Elmaarouf, Rhizlane.
Modeling and control of psoriasis.
Degree: MS, Mathematics and Computer Science, 2016, Texas Woman's University
URL: http://hdl.handle.net/11274/8296
► In this paper a mathematical model of psoriasis is created and investigated. The model is described by a nonlinear control system of three differential equations…
(more)
▼ In this paper a mathematical model of psoriasis is created and investigated. The model is described by a nonlinear control system of three differential equations involving the concentration of Dendritic Cells (Tissues Macrophages), T-Lymphocytes and Keratinocytes. Analytical and numerical studies techniques will be discussed. An optimal control problem of minimizing the release of Keratinocytes to standardize the growth of the Dendritic Cells is stated and solved using
Pontryagin Maximum Principle. Optimal solution and optimal controls are presented at different values of the model.
Advisors/Committee Members: Grigorieva, Ellina (Committee Chair), Edwards, Don (committee member).
Subjects/Keywords: Mathematics; Pontryagin Maximum Principle; Dendritic cell growth
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APA (6th Edition):
Elmaarouf, R. (2016). Modeling and control of psoriasis. (Masters Thesis). Texas Woman's University. Retrieved from http://hdl.handle.net/11274/8296
Chicago Manual of Style (16th Edition):
Elmaarouf, Rhizlane. “Modeling and control of psoriasis.” 2016. Masters Thesis, Texas Woman's University. Accessed February 28, 2021.
http://hdl.handle.net/11274/8296.
MLA Handbook (7th Edition):
Elmaarouf, Rhizlane. “Modeling and control of psoriasis.” 2016. Web. 28 Feb 2021.
Vancouver:
Elmaarouf R. Modeling and control of psoriasis. [Internet] [Masters thesis]. Texas Woman's University; 2016. [cited 2021 Feb 28].
Available from: http://hdl.handle.net/11274/8296.
Council of Science Editors:
Elmaarouf R. Modeling and control of psoriasis. [Masters Thesis]. Texas Woman's University; 2016. Available from: http://hdl.handle.net/11274/8296

Virginia Commonwealth University
2.
Taylor, Tracy A.
Optimal Control and Its Application to the Life-Cycle Savings Problem.
Degree: MS, Mathematical Sciences, 2016, Virginia Commonwealth University
URL: https://doi.org/10.25772/1SQR-J033
;
https://scholarscompass.vcu.edu/etd/4288
► Throughout the course of this thesis, we give an introduction to optimal control theory and its necessary conditions, prove Pontryagin's Maximum Principle, and present…
(more)
▼ Throughout the course of this thesis, we give an introduction to optimal control theory and its necessary conditions, prove
Pontryagin'
s Maximum Principle, and present the life-cycle saving under uncertain lifetime optimal control problem. We present a very involved sensitivity analysis that determines how a change in the initial wealth, discount factor, or relative risk aversion coefficient may affect the model the terminal depletion of wealth time, optimal consumption path, and optimal accumulation of wealth path. Through simulation of the life-cycle saving under uncertain lifetime model, we are not only able to present the model dynamics through time, but also to demonstrate the feasibility of the model.
Advisors/Committee Members: Norma Ortiz-Robinson, Paul Brooks, Hassan Sedaghat.
Subjects/Keywords: optimal control; pontryagin maximum principle; life-cycle savings; fisher utility; optimization; Control Theory
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APA (6th Edition):
Taylor, T. A. (2016). Optimal Control and Its Application to the Life-Cycle Savings Problem. (Thesis). Virginia Commonwealth University. Retrieved from https://doi.org/10.25772/1SQR-J033 ; https://scholarscompass.vcu.edu/etd/4288
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Taylor, Tracy A. “Optimal Control and Its Application to the Life-Cycle Savings Problem.” 2016. Thesis, Virginia Commonwealth University. Accessed February 28, 2021.
https://doi.org/10.25772/1SQR-J033 ; https://scholarscompass.vcu.edu/etd/4288.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Taylor, Tracy A. “Optimal Control and Its Application to the Life-Cycle Savings Problem.” 2016. Web. 28 Feb 2021.
Vancouver:
Taylor TA. Optimal Control and Its Application to the Life-Cycle Savings Problem. [Internet] [Thesis]. Virginia Commonwealth University; 2016. [cited 2021 Feb 28].
Available from: https://doi.org/10.25772/1SQR-J033 ; https://scholarscompass.vcu.edu/etd/4288.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Taylor TA. Optimal Control and Its Application to the Life-Cycle Savings Problem. [Thesis]. Virginia Commonwealth University; 2016. Available from: https://doi.org/10.25772/1SQR-J033 ; https://scholarscompass.vcu.edu/etd/4288
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Western Michigan University
3.
Kipka, Robert J.
Mathematical Methods of Analysis for Control and Dynamic Optimization Problems on Manifolds.
Degree: PhD, Mathematics, 2014, Western Michigan University
URL: https://scholarworks.wmich.edu/dissertations/283
► Mathematical Methods Of Analysis For Control And Dynamic Optimization Problems On Manifolds Driven by applications in fields such as robotics and satellite attitude control,…
(more)
▼ Mathematical Methods Of Analysis For Control And Dynamic Optimization Problems On Manifolds Driven by applications in fields such as robotics and satellite attitude control, as well as by a need for the theoretical development of appropriate tools for the analysis of geometric systems, problems of control of dynamical systems on manifolds have been studied intensively during the past three decades. In this dissertation we suggest new mathematical techniques for the study of control and dynamic optimization problems on manifolds. This work has several components including: an extension of the classical Chronological Calculus to control and dynamical systems which are merely measurable in time and evolve on manifolds modeled over Banach space; novel proofs of
Pontryagin Maximum Principle in settings more general than those currently existing in the literature; necessary optimality conditions for dynamic optimization problems on manifolds in which the dynamics are constrained by a di fferential inclusion; and a generic existence and uniqueness theorem for problems of optimal control posed on manifolds. Our studies of optimal control and dynamic optimization include exact penalization and metric regularity results for problems with initially and terminally constrained states which are new even in the case M = R
n. This work also includes generalizations of the classical Chow-Rashevskii theorem from geometric control theory and the Fundamental and duBois-Reymond lemmas from classical Calculus of Variations to the setting of infinite-dimensional manifolds.
Advisors/Committee Members: Dr. Yuri S. Ledyaev, Dr. Qiji Jim Zhu, Dr. Jay Treiman.
Subjects/Keywords: Geometric Control; optimal control; chronological calculus; dynamic optimization; Pontryagin maximum principle; Banach space; Dynamical Systems
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APA (6th Edition):
Kipka, R. J. (2014). Mathematical Methods of Analysis for Control and Dynamic Optimization Problems on Manifolds. (Doctoral Dissertation). Western Michigan University. Retrieved from https://scholarworks.wmich.edu/dissertations/283
Chicago Manual of Style (16th Edition):
Kipka, Robert J. “Mathematical Methods of Analysis for Control and Dynamic Optimization Problems on Manifolds.” 2014. Doctoral Dissertation, Western Michigan University. Accessed February 28, 2021.
https://scholarworks.wmich.edu/dissertations/283.
MLA Handbook (7th Edition):
Kipka, Robert J. “Mathematical Methods of Analysis for Control and Dynamic Optimization Problems on Manifolds.” 2014. Web. 28 Feb 2021.
Vancouver:
Kipka RJ. Mathematical Methods of Analysis for Control and Dynamic Optimization Problems on Manifolds. [Internet] [Doctoral dissertation]. Western Michigan University; 2014. [cited 2021 Feb 28].
Available from: https://scholarworks.wmich.edu/dissertations/283.
Council of Science Editors:
Kipka RJ. Mathematical Methods of Analysis for Control and Dynamic Optimization Problems on Manifolds. [Doctoral Dissertation]. Western Michigan University; 2014. Available from: https://scholarworks.wmich.edu/dissertations/283
4.
Lagache, Marc-Aurèle.
Analyse de problèmes inverses et directs en théorie du contrôle : Analysis of inverse and direct problems in control theory.
Degree: Docteur es, Génie Informatique, automatique et traitement du signal, 2017, Toulon
URL: http://www.theses.fr/2017TOUL0008
► Le contexte général de cette thèse est l’étude de problèmes inverses et directs en théorie du contrôle. Plus précisément, les trois problèmes étudiés sont les…
(more)
▼ Le contexte général de cette thèse est l’étude de problèmes inverses et directs en théorie du contrôle. Plus précisément, les trois problèmes étudiés sont les suivants.Le premier est un problème de contrôle optimal (approche directe). Il s’agit de fournir la synthèse temps minimum du modèle cinématique d'un drone volant à altitude constante, de vitesse linéaire non nécessairement constante voulant rejoindre une trajectoire circulaire de rayon de courbure minimum.Le deuxième problème concerne une approche inverse du contrôle optimal. Il s’agit d’élaborer des méthodes théoriques de reconstruction du critère optimisé dans un problème de contrôle optimal à partir d’un ensemble de solutions à ce problème, ainsi que caractériser les "bons" ensembles de trajectoires permettant la reconstruction du critère. Le contrôle optimal inverse connait un regain d’intérêt depuis une quinzaine d’années, en particulier dans l’étude des comportements moteurs humains. En effet, selon un paradigme largement accepté en neurophysiologie, parmi tous les mouvements possibles ceux effectivement réalisés sont solutions d’un processus d’optimisation.Le troisième problème traite de stabilisation par retour de sortie. Nous analysons, à travers un exemple académique tiré du contrôle quantique, le problème de stabilisation par retour de sortie (à l’aide d’un observateur) lorsque le point où l'on souhaite stabiliser le système correspond à un contrôle qui rend le système inobservable. L’idée générale est de perturber le retour d’état stabilisant afin de garantir l’observabilité du système tout en stabilisant le système sur la cible. L’analyse de cet exemple académique nous permet dans un second temps de dégager une méthode générale pouvant s’appliquer à une classe de système beaucoup plus large.
The overall context of this thesis is the study of inverse and direct problems in control theory. More specifically, the following three problems are studied.The first one is an optimal control problem (direct approach). The aim is to give a time minimum systhesis fora kinematic model of a UAV flying at constant altitude with positive (non-necessarily constant) linear velocityin order to steer it to a fixed circle of minimum turning radius.The second problem deals with an inverse approach of optimal control. The aim is to develop theoretical methods in order to reconstruct the minimized criterion in an optimal control problem from a set of solution to this problem. The aim is also to characterize the « good » sets of trajectories leading to the reconstruction of the criterion. In the last fifteen years, there has been a renewed interest in inverse optimal control, especially inhuman motor behavior. Indeed, according to a well accepted paradigm in neurophysiology, among all possible movements, those actually accomplished are solutions of an optimization process.The third problem tackles output feedback stabilization. We analyze, via a simple academic example from quantum control, the problem of dynamic output feedback stabilization, when the point where we…
Advisors/Committee Members: Gauthier, Jean-Paul André (thesis director), Serres, Ulysse (thesis director).
Subjects/Keywords: Principe du maximum de Pontryagin; Transversalité de Thom; Observateur; Stabilisation; Retour de sortie; Pontryagin maximum principle; Thom traversality; Observers; Stabilization; Output feedback
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Lagache, M. (2017). Analyse de problèmes inverses et directs en théorie du contrôle : Analysis of inverse and direct problems in control theory. (Doctoral Dissertation). Toulon. Retrieved from http://www.theses.fr/2017TOUL0008
Chicago Manual of Style (16th Edition):
Lagache, Marc-Aurèle. “Analyse de problèmes inverses et directs en théorie du contrôle : Analysis of inverse and direct problems in control theory.” 2017. Doctoral Dissertation, Toulon. Accessed February 28, 2021.
http://www.theses.fr/2017TOUL0008.
MLA Handbook (7th Edition):
Lagache, Marc-Aurèle. “Analyse de problèmes inverses et directs en théorie du contrôle : Analysis of inverse and direct problems in control theory.” 2017. Web. 28 Feb 2021.
Vancouver:
Lagache M. Analyse de problèmes inverses et directs en théorie du contrôle : Analysis of inverse and direct problems in control theory. [Internet] [Doctoral dissertation]. Toulon; 2017. [cited 2021 Feb 28].
Available from: http://www.theses.fr/2017TOUL0008.
Council of Science Editors:
Lagache M. Analyse de problèmes inverses et directs en théorie du contrôle : Analysis of inverse and direct problems in control theory. [Doctoral Dissertation]. Toulon; 2017. Available from: http://www.theses.fr/2017TOUL0008
5.
Fontaine, Clément.
Supervision optimale des véhicules électriques hybrides en présence de contraintes sur l’état : Optimal supervisory control of hybrid electric vehicles under state constraints.
Degree: Docteur es, Automatique. Automatique, génie informatique., 2013, Valenciennes
URL: http://www.theses.fr/2013VALE0024
► La propulsion des véhicules électriques hybrides parallèles est généralement assurée par un moteur à combustion interne combiné à une machine électrique réversible. Les flux de…
(more)
▼ La propulsion des véhicules électriques hybrides parallèles est généralement assurée par un moteur à combustion interne combiné à une machine électrique réversible. Les flux de puissance entre ces deux organes de traction sont déterminés par un algorithme de supervision, qui vise à réduire la consommation de carburant et éventuellement les émissions de certains polluants. Dans la littérature, la théorie de la commande optimale est maintenant reconnue comme étant un cadre puissant pour l’élaboration de lois de commande pour la gestion énergétique des véhicules full-hybrides. Ces stratégies, dénommée « Stratégies de Minimisation de la Consommation Equivalente » (ECMS) sont basée sur le principe du Maximum de Pontryagin. Pour démontrer l’optimalité de l’ECMS, on doit supposer que les limites du système de stockage ne sont pas atteintes durant le cycle de conduite. Il n’est plus possible de faire cette hypothèse lorsque l’on considère les véhicules micro et mild hybrides étudiés dans cette thèse car la variable d’état atteint généralement plusieurs fois les bornes. Des outils mathématiques adaptés à l’étude des problèmes de commande avec contraintes sur l’état sont présentés et appliqués à deux problèmes en lien avec la gestion énergétique. Le premier problème consiste à déterminer le profil optimal de la tension aux bornes d’un pack d’ultra-capacités. Le second problème se concentre sur un système électrique intégrant deux stockeurs. L’accent est mis sur l’étude des conditions d’optimalités valables lorsque les contraintes sur l’état sont actives. Les conséquences de ces conditions pour la commande en ligne sont mises en avant et exploitées afin de concevoir une commande en temps réel. Les performances sont évaluées à l’aide d’un prototype. Une comparaison avec une approche de type ECMS plus classique est également présentée.
Parallel hybrid electric vehicles are generally propelled by an internal combustion engine, which is combined to a reversible electric machine. The power flows between these two traction devices are determined by a supervisory control algorithm, which aims at reducing the fuel consumption and possibly some polluting emissions. In the literature, optimal control theory is now recognized as a powerful framework for the synthesis of energy management strategies for full hybrid vehicles. These strategies are referred to as “Equivalent Consumption Minimization Strategies” (ECMS) and are based on the Pontryagin Maximum Principle. To demonstrate the optimality of ECMS, it must be assumed that the storage system limits are not reached during the drive cycle. This hypothesis cannot be made anymore when considering the micro and mild hybrid vehicles studied in this thesis because the state variable generally reaches several times the boundaries. Some mathematical tools suitable for the study of state constrained optimal control problems are introduced and applied to two energy management problems. The first problem consists in determining the optimal profile of the voltage across a pack of…
Advisors/Committee Members: Guerra, Thierry-Marie (thesis director), Delprat, Sébastien (thesis director).
Subjects/Keywords: Ecms; Algorithme de supervision; Véhicules full-hybrides; Principe du maximum de Pontryagin; Ecms; Supervisory control algorithm; Full hybrid vehicles; Pontryagin Maximum Principle
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Fontaine, C. (2013). Supervision optimale des véhicules électriques hybrides en présence de contraintes sur l’état : Optimal supervisory control of hybrid electric vehicles under state constraints. (Doctoral Dissertation). Valenciennes. Retrieved from http://www.theses.fr/2013VALE0024
Chicago Manual of Style (16th Edition):
Fontaine, Clément. “Supervision optimale des véhicules électriques hybrides en présence de contraintes sur l’état : Optimal supervisory control of hybrid electric vehicles under state constraints.” 2013. Doctoral Dissertation, Valenciennes. Accessed February 28, 2021.
http://www.theses.fr/2013VALE0024.
MLA Handbook (7th Edition):
Fontaine, Clément. “Supervision optimale des véhicules électriques hybrides en présence de contraintes sur l’état : Optimal supervisory control of hybrid electric vehicles under state constraints.” 2013. Web. 28 Feb 2021.
Vancouver:
Fontaine C. Supervision optimale des véhicules électriques hybrides en présence de contraintes sur l’état : Optimal supervisory control of hybrid electric vehicles under state constraints. [Internet] [Doctoral dissertation]. Valenciennes; 2013. [cited 2021 Feb 28].
Available from: http://www.theses.fr/2013VALE0024.
Council of Science Editors:
Fontaine C. Supervision optimale des véhicules électriques hybrides en présence de contraintes sur l’état : Optimal supervisory control of hybrid electric vehicles under state constraints. [Doctoral Dissertation]. Valenciennes; 2013. Available from: http://www.theses.fr/2013VALE0024
6.
Sebesta, Kenneth.
Optimal observers and optimal control : improving car efficiency with Kalman et Pontryagin : Observateur et contrôle optimal : améliorer l'efficacité de la conduite automobile avec Kalman et Pontryagin.
Degree: Docteur es, Instrumentation et informatique de l'image, 2010, Dijon; Université du Luxembourg
URL: http://www.theses.fr/2010DIJOS097
► Ce mémoire de thèse présente une méthode permettant d'améliorer laconduite automobile. Le filtre de Kalman étendu est utilisé pour identifierun modèle de la voiture. Ce…
(more)
▼ Ce mémoire de thèse présente une méthode permettant d'améliorer laconduite automobile. Le filtre de Kalman étendu est utilisé pour identifierun modèle de la voiture. Ce filtre est particulièrement étudié afin de prendreen compte la redondance des informations et leur mesure asynchrone.Un ensemble cohérent et bon marché de capteurs - incluant accéléromètres,GPS, temps d'ouverture des injecteurs et vitesse - a été développé et installédans plusieurs véhicules. Ces mesures sont utilisées afin de reconstituer lafonction d'efficacité du moteur. Cette méthodologie peut-être utilisée pourtoute étude requérant la connaissance de cette fonction.La fonction d'efficacité est approchée par une fonction polynomiale etle modèle obtenu est la base d'une optimisation utilisant le principe dumaximum de Pontryagin.Les résultats des tests en condition réelle sont donnés et montrent l'efficicacité de l'observateur et du contrôleur
The PhD presents a combined approach to improving individual car efficiency. An optimal observer, the Extended Kalman Filter, is used to create an efficiency model for the car. Particular attention was paid to handling the asynchronous and redundant nature of the measurement data. A low-cost sensor suite developed to measure data is described. This sensor suite was installed on multiple vehicles to good success. It employsan accelerometer, gps, fuel injector timer, and Vss input to measure all the data necessary to reconstruct the car's state. This observer and sensor suite can be used as the base for any study which requires car efficiency maps, allowing research to proceed without manufacturer supplied data. Once the efficiency map is found, it is then curve-fitted in order to reduce model complexity. The simplified model is then used as a basis for optimal control through Pontryagin's Maximum Principle. Real-world test results are given, both for efficiency mapping, and for optimal control. Detailed discussion of the observer and controller is presented, in order to ease understanding and save implementation time
Advisors/Committee Members: Busvelle, Eric (thesis director), Sachau, Jürgen (thesis director).
Subjects/Keywords: Efficacité d'un moteur; Filtrage optimal; Observateur; Observateur non linéaire; Filtre de Kalman étendu; Contrôle optimal; Principe du maximum de Pontryagin; Motor efficiency; Optimal filtering; Observer; Nonlinear observer; Extended Kalman fillter; Optimal control; Pontryagin maximum principle; 515; 621.4; 629.2; 629.8
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Sebesta, K. (2010). Optimal observers and optimal control : improving car efficiency with Kalman et Pontryagin : Observateur et contrôle optimal : améliorer l'efficacité de la conduite automobile avec Kalman et Pontryagin. (Doctoral Dissertation). Dijon; Université du Luxembourg. Retrieved from http://www.theses.fr/2010DIJOS097
Chicago Manual of Style (16th Edition):
Sebesta, Kenneth. “Optimal observers and optimal control : improving car efficiency with Kalman et Pontryagin : Observateur et contrôle optimal : améliorer l'efficacité de la conduite automobile avec Kalman et Pontryagin.” 2010. Doctoral Dissertation, Dijon; Université du Luxembourg. Accessed February 28, 2021.
http://www.theses.fr/2010DIJOS097.
MLA Handbook (7th Edition):
Sebesta, Kenneth. “Optimal observers and optimal control : improving car efficiency with Kalman et Pontryagin : Observateur et contrôle optimal : améliorer l'efficacité de la conduite automobile avec Kalman et Pontryagin.” 2010. Web. 28 Feb 2021.
Vancouver:
Sebesta K. Optimal observers and optimal control : improving car efficiency with Kalman et Pontryagin : Observateur et contrôle optimal : améliorer l'efficacité de la conduite automobile avec Kalman et Pontryagin. [Internet] [Doctoral dissertation]. Dijon; Université du Luxembourg; 2010. [cited 2021 Feb 28].
Available from: http://www.theses.fr/2010DIJOS097.
Council of Science Editors:
Sebesta K. Optimal observers and optimal control : improving car efficiency with Kalman et Pontryagin : Observateur et contrôle optimal : améliorer l'efficacité de la conduite automobile avec Kalman et Pontryagin. [Doctoral Dissertation]. Dijon; Université du Luxembourg; 2010. Available from: http://www.theses.fr/2010DIJOS097
7.
César, Ténissia.
Applications de la théorie du Contrôle Optimal aux problématiques du diabète et de la propagation de la rumeur sur les réseaux sociaux : Applications of the Optimal Control theory to problems of diabetes and the spread of rumor on social networks.
Degree: Docteur es, Mathématiques, 2018, Antilles
URL: http://www.theses.fr/2018ANTI0310
► L'objectif de cette thèse est principalement d'appliquer la théorie du contrôle optimal à des problématiques que soulèvent la maladie du diabète et celle de la…
(more)
▼ L'objectif de cette thèse est principalement d'appliquer la théorie du contrôle optimal à des problématiques que soulèvent la maladie du diabète et celle de la propagation de la rumeur sur les réseaux sociaux.Pour la première application, à savoir la maladie du diabète, nous développons deux études. Dans une première étude, à un modèle qui examine les diabétiques avec et sans complications, nous associons un problème de contrôle optimal. Nous montrons qu'il n'existe pas de comportement cyclique entre le groupe des diabétiques avec complications et celui des diabétiques sans complications, et que le point d'équilibre associé au problème existe et est un point selle. Dans une seconde étude, nous modifions un modèle de glucose-insuline à temps différé par l'ajout d'actions extérieures avec retard. Puis, pour minimiser la glycémie d'un diabétique, nous les contrôlons séparément puis simultanément, afin d'en donner une caractérisation à l'aide du principe du maximum de Pontryagin.Pour la deuxième application, la problématique de la propagation de la rumeur sur les réseaux sociaux, nous proposons aussi deux approches. Premièrement, nous mettons en place des stratégies optimales, par l'ajout d'actions extérieures sur un modèle d'e-rumeur de type SIR que nous contrôlons séparément puis simultanément, pour minimiser la propagation d'une fausse information. Et, dans une deuxième approche, nous construisons un nouveau modèle d'e-rumeur pour lequel nous étudions les points d'équilibres admissibles en mettant en évidence leurs conditions de stabilité, ainsi que les critères de persistance du modèle.
The aim of this thesis is mainly to apply optimal control theory to problems raised by diabetes disease and the spread of rumors on social networks.For the first application, namely diabetes disease, we develop two studies. In a first one, from a model that examines diabetics with and without complications, we associate an optimal control problem. We show that there is no cyclical behavior between the group of diabetics with complications and the one without complications, and that the associated equilibrium point exists and is a saddle point. In a second study, we modify a model of delayed glucose-insulin by adding external actions with delay. Then, in order to minimize the glycemia of a diabetic, we control them separately and simultaneously in order to give a characterization of the optimal actions with the Pontryagin maximum principle.For the second application, the issue of spreading rumors on social networks, we also give two approaches. First, we introduce some optimal strategies, by adding external actions on a e-rumor model of SIR type that we control separately and simultaneously to minimize the spread of fake news. Then, in a second approach, we build a new e-rumor model for which we study the admissible equilibrium points by highlighting their stability conditions, as well as the criteria of persistence of the model.
Advisors/Committee Members: Piétrus, Alain (thesis director), Andouze-Bernard, Séverine (thesis director).
Subjects/Keywords: Diabète; E-rumeur; Modèle de type SIR; Equations différentielles avec retard; Contrôle optimal; Principe du maximum de Pontryagin; Bifurcation de Hopf; Diabète; E-rumeur; SIR-type model; Delay-differential equations; Optimal control; Pontryagin maximum principle; Hopf bifurcation; 500
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
César, T. (2018). Applications de la théorie du Contrôle Optimal aux problématiques du diabète et de la propagation de la rumeur sur les réseaux sociaux : Applications of the Optimal Control theory to problems of diabetes and the spread of rumor on social networks. (Doctoral Dissertation). Antilles. Retrieved from http://www.theses.fr/2018ANTI0310
Chicago Manual of Style (16th Edition):
César, Ténissia. “Applications de la théorie du Contrôle Optimal aux problématiques du diabète et de la propagation de la rumeur sur les réseaux sociaux : Applications of the Optimal Control theory to problems of diabetes and the spread of rumor on social networks.” 2018. Doctoral Dissertation, Antilles. Accessed February 28, 2021.
http://www.theses.fr/2018ANTI0310.
MLA Handbook (7th Edition):
César, Ténissia. “Applications de la théorie du Contrôle Optimal aux problématiques du diabète et de la propagation de la rumeur sur les réseaux sociaux : Applications of the Optimal Control theory to problems of diabetes and the spread of rumor on social networks.” 2018. Web. 28 Feb 2021.
Vancouver:
César T. Applications de la théorie du Contrôle Optimal aux problématiques du diabète et de la propagation de la rumeur sur les réseaux sociaux : Applications of the Optimal Control theory to problems of diabetes and the spread of rumor on social networks. [Internet] [Doctoral dissertation]. Antilles; 2018. [cited 2021 Feb 28].
Available from: http://www.theses.fr/2018ANTI0310.
Council of Science Editors:
César T. Applications de la théorie du Contrôle Optimal aux problématiques du diabète et de la propagation de la rumeur sur les réseaux sociaux : Applications of the Optimal Control theory to problems of diabetes and the spread of rumor on social networks. [Doctoral Dissertation]. Antilles; 2018. Available from: http://www.theses.fr/2018ANTI0310
8.
Bourdin, Loïc.
Contributions au calcul des variations et au principe du maximum de Pontryagin en calculs time scale et fractionnaire : Contributions to calculus of variations and to Pontryagin maximum principle in time scale calculus and fractional calculus.
Degree: Docteur es, Mathématiques appliquées, 2013, Pau
URL: http://www.theses.fr/2013PAUU3009
► Cette thèse est une contribution au calcul des variations et à la théorie du contrôle optimal dans les cadres discret, plus généralement time scale, et…
(more)
▼ Cette thèse est une contribution au calcul des variations et à la théorie du contrôle optimal dans les cadres discret, plus généralement time scale, et fractionnaire. Ces deux domaines ont récemment connu un développement considérable dû pour l’un à son application en informatique et pour l’autre à son essor dans des problèmes physiques de diffusion anormale. Que ce soit dans le cadre time scale ou dans le cadre fractionnaire, nos objectifs sont de : a) développer un calcul des variations et étendre quelques résultats classiques (voir plus bas); b) établir un principe du maximum de Pontryagin (PMP en abrégé) pour des problèmes de contrôle optimal. Dans ce but, nous généralisons plusieurs méthodes variationnelles usuelles, allant du simple calcul des variations au principe variationnel d’Ekeland (couplé avec la technique des variations-aiguilles), en passant par l’étude d’invariances variationnelles par des groupes de transformations. Les démonstrations des PMPs nous amènent également à employer des théorèmes de point fixe et à prendre en considération la technique des multiplicateurs de Lagrange ou encore une méthode basée sur un théorème d’inversion locale conique. Ce manuscrit est donc composé de deux parties : la Partie 1 traite de problèmes variationnels posés sur time scale et la Partie 2 est consacrée à leurs pendants fractionnaires. Dans chacune de ces deux parties, nous suivons l’organisation suivante : 1. détermination de l’équation d’Euler-Lagrange caractérisant les points critiques d’une fonctionnelle Lagrangienne ; 2. énoncé d’un théorème de type Noether assurant l’existence d’une constante de mouvement pour les équations d’Euler-Lagrange admettant une symétrie ; 3. énoncé d’un théorème de type Tonelli assurant l’existence d’un minimiseur pour une fonctionnelle Lagrangienne et donc, par la même occasion, d’une solution pour l’équation d’Euler-Lagrange associée (uniquement en Partie 2) ; 4. énoncé d’un PMP (version forte en Partie 1, version faible en Partie 2) donnant une condition nécessaire pour les trajectoires qui sont solutions de problèmes de contrôle optimal généraux non-linéaires ; 5. détermination d’une condition de type Helmholtz caractérisant les équations provenant d’un calcul des variations (uniquement en Partie 1 et uniquement dans les cas purement continu et purement discret). Des théorèmes de type Cauchy-Lipschitz nécessaires à l’étude de problèmes de contrôle optimal sont démontrés en Annexe.
This dissertation deals with the mathematical fields called calculus of variations and optimal control theory. More precisely, we develop some aspects of these two domains in discrete, more generally time scale, and fractional frameworks. Indeed, these two settings have recently experience a significant development due to its applications in computing for the first one and to its emergence in physical contexts of anomalous diffusion for the second one. In both frameworks, our goals are: a) to develop a calculus of variations and extend some classical results (see below); b) to state a Pontryagin…
Advisors/Committee Members: Cresson, Jacky (thesis director), Greff, Isabelle (thesis director).
Subjects/Keywords: Calcul des variations; Contrôle optimal; Calcul time scale; Calcul fractionnaire; Équation d'Euler-Lagrange; Théorème de Noether; Condition de Helmholtz; résultat d'existence; principe du maximum de Pontryagin; Intégrateurs variationnels; Principe variationnel d'Ekeland; Variations-aiguilles; Conditions de transversalité; Théorème de type Cauchy-Lipschitz.; Principe du maximum de Pontryagin; Résultat d'existence; Calculus of variations; Optimal control theory; Time scale calculus; Fractional calculus; Euler-Lagrange equation; Noether’s theorem; Helmholtz condition; Variational integrators; Ekeland’s variational principle; Needle-like variations; Transversality conditions; Picard-Lindelöf theorem.; Pontryagin maximum principle; Existence result
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Bourdin, L. (2013). Contributions au calcul des variations et au principe du maximum de Pontryagin en calculs time scale et fractionnaire : Contributions to calculus of variations and to Pontryagin maximum principle in time scale calculus and fractional calculus. (Doctoral Dissertation). Pau. Retrieved from http://www.theses.fr/2013PAUU3009
Chicago Manual of Style (16th Edition):
Bourdin, Loïc. “Contributions au calcul des variations et au principe du maximum de Pontryagin en calculs time scale et fractionnaire : Contributions to calculus of variations and to Pontryagin maximum principle in time scale calculus and fractional calculus.” 2013. Doctoral Dissertation, Pau. Accessed February 28, 2021.
http://www.theses.fr/2013PAUU3009.
MLA Handbook (7th Edition):
Bourdin, Loïc. “Contributions au calcul des variations et au principe du maximum de Pontryagin en calculs time scale et fractionnaire : Contributions to calculus of variations and to Pontryagin maximum principle in time scale calculus and fractional calculus.” 2013. Web. 28 Feb 2021.
Vancouver:
Bourdin L. Contributions au calcul des variations et au principe du maximum de Pontryagin en calculs time scale et fractionnaire : Contributions to calculus of variations and to Pontryagin maximum principle in time scale calculus and fractional calculus. [Internet] [Doctoral dissertation]. Pau; 2013. [cited 2021 Feb 28].
Available from: http://www.theses.fr/2013PAUU3009.
Council of Science Editors:
Bourdin L. Contributions au calcul des variations et au principe du maximum de Pontryagin en calculs time scale et fractionnaire : Contributions to calculus of variations and to Pontryagin maximum principle in time scale calculus and fractional calculus. [Doctoral Dissertation]. Pau; 2013. Available from: http://www.theses.fr/2013PAUU3009
9.
Oda, Eduardo.
Fenômeno Fuller em problemas de controle ótimo: trajetórias em tempo mínino de veículos autônomos subaquáticos.
Degree: Mestrado, Matemática Aplicada, 2008, University of São Paulo
URL: http://www.teses.usp.br/teses/disponiveis/45/45132/tde-05052009-111117/
;
► As equações do modelo bidimensional de veículos autônomos subaquáticos fornecem um exemplo de sistema de controle não linear com o qual podemos ilustrar propriedades da…
(more)
▼ As equações do modelo bidimensional de veículos autônomos subaquáticos fornecem um exemplo de sistema de controle não linear com o qual podemos ilustrar propriedades da teoria de controle ótimo. Apresentamos, sistematicamente, como os conceitos de formalismo hamiltoniano e teoria de Lie aparecem de forma natural neste contexto. Para tanto, estudamos brevemente o Princípio do Máximo de Pontryagin e discutimos características de sistemas afins. Tratamos com cuidado do Fenômeno Fuller, fornecendo critérios para decidir quando ele está ou não presente em junções, utilizando para isso uma linguagem algébrica. Apresentamos uma abordagem numérica para tratar problemas de controle ótimo e finalizamos com a aplicação dos resultados ao modelo bidimensional de veículo autônomo subaquático.
The equations of the two-dimensional model for autonomous underwater vehicles provide an example of a nonlinear control system which illustrates properties of optimal control theory. We present, systematically, how the concepts of the Hamiltonian formalism and the Lie theory naturally appear in this context. For this purpose, we briefly study the Pontryagin\'s Maximum Principle and discuss features of affine systems. We treat carefully the Fuller Phenomenon, providing criteria to detect its presence at junctions with an algebraic notation. We present a numerical approach to treat optimal control problems and we conclude with an application of the results in the bidimesional model of autonomous underwater vehicle.
Advisors/Committee Members: Tonelli, Pedro Aladar.
Subjects/Keywords: bang-bang; bang-bang.; chattering; chattering; controle ótimo; controle singular; Fenômeno Fuller; Fuller Phenomenon; geometric control theory; Hamiltonian systems; optimal control; Pontryagin Maximum Principle; Princípio do Máximo de Pontryagin; singular control; sistemas hamiltonianos; teoria geométrica de controle
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Oda, E. (2008). Fenômeno Fuller em problemas de controle ótimo: trajetórias em tempo mínino de veículos autônomos subaquáticos. (Masters Thesis). University of São Paulo. Retrieved from http://www.teses.usp.br/teses/disponiveis/45/45132/tde-05052009-111117/ ;
Chicago Manual of Style (16th Edition):
Oda, Eduardo. “Fenômeno Fuller em problemas de controle ótimo: trajetórias em tempo mínino de veículos autônomos subaquáticos.” 2008. Masters Thesis, University of São Paulo. Accessed February 28, 2021.
http://www.teses.usp.br/teses/disponiveis/45/45132/tde-05052009-111117/ ;.
MLA Handbook (7th Edition):
Oda, Eduardo. “Fenômeno Fuller em problemas de controle ótimo: trajetórias em tempo mínino de veículos autônomos subaquáticos.” 2008. Web. 28 Feb 2021.
Vancouver:
Oda E. Fenômeno Fuller em problemas de controle ótimo: trajetórias em tempo mínino de veículos autônomos subaquáticos. [Internet] [Masters thesis]. University of São Paulo; 2008. [cited 2021 Feb 28].
Available from: http://www.teses.usp.br/teses/disponiveis/45/45132/tde-05052009-111117/ ;.
Council of Science Editors:
Oda E. Fenômeno Fuller em problemas de controle ótimo: trajetórias em tempo mínino de veículos autônomos subaquáticos. [Masters Thesis]. University of São Paulo; 2008. Available from: http://www.teses.usp.br/teses/disponiveis/45/45132/tde-05052009-111117/ ;
10.
Lapert, Marc.
Développement de nouvelles techniques de contrôle optimal en dynamique quantique : de la Résonance Magnétique Nucléaire à la physique moléculaire : Developement of new techniques of Optimal Control in Quantum Dynamics : from nuclear magnetic resonance to molecular physics.
Degree: Docteur es, Physique, 2011, Université de Bourgogne
URL: http://www.theses.fr/2011DIJOS067
► L’objectif de cette thèse est d’appliquer la théorie du contrôle optimal à la dynamique de systèmes quantiques. Le premier point consiste à introduire dans le…
(more)
▼ L’objectif de cette thèse est d’appliquer la théorie du contrôle optimal à la dynamique de systèmes quantiques. Le premier point consiste à introduire dans le domaine du contrôle quantique des outils de contrôle optimal initialement développés en mathématique. Cette approche a ensuite été appliquée sur différent types de systèmes quantiques décrit par une grande ou une petite dimension. La première partie du manuscrit introduit les différents outils de contrôles utilisés avec une approche adaptée à un public de physiciens. Dans la seconde partie, ces techniques sont utilisées pour contrôler la dynamique des spins en RMN et IRM. La troisième partie s’intéresse au développement de nouveaux algorithmes itératifs de contrôle optimal appliqués au contrôle par champ laser de la dynamique rotationnelle des molécules linéaires en phases gazeuse ainsi qu’au développement d’une stratégie de contrôle simple permettant de délocaliser une molécule dans un plan. La quatrième partie traite le contrôle en temps minimum d’un condensat de Bose-Einstein à deux composantes. La dernière partie permet de comparer qualitativement et quantitativement les différentes méthodes de contrôle optimal utilisées. Les seconde et troisième parties ont également bénéficier de l’implémentation expérimentale des solutions de contrôle optimal obtenues.
The goal of this thesis is to apply the optimal control theory to the dynamics of quantum systems.The first part aim at introducing the tools of optimal control in quantum control which were initially developedin mathematics. This approch has been applied on different kinds of quantum system with small and largedimensions. The first part of this manuscript introduces the optimal control tools which are used with a pointof view suited to a public of physicists. In the second part these techniques are used to control the dynamics ofspins in NMR and MRI. The third part deals with the development of new iterative algorithms applied to thecontrol by laser fields of the rotational dynamics of linear molecules in a gaz phases and the development of asimple control strategy allowing to delocalize a molecule in a plan. The fourth part treats the time-minimumcontrol of a two-component Bose Einstein condensate. The last part compares the different optimal controlmethods used qualitatively and quantitatively. The solution found in the second and third parts have been alsoapplied experimentally.
Advisors/Committee Members: Sugny, Dominique (thesis director).
Subjects/Keywords: Contrôle optimal; Contrôle quantique; Principe du maximum de Pontryagin (PMP); Imagerie par résonance magnétique (IRM); Résonance magnétique nucléaire (RMN); Alignement moléculaire; Contrôle local; Algorithme monotone; Algorithme de Krotov; GRAPE; Jonction Josephon bosonique; Optimal Control; Quantum Control; Pontryagin Maximum Principle (PMP); Magnetic Resonance Imaging (MRI); Nuclear Magnetic Resonance (NMR); Molecular Alignment; Local Control; Monotonic Algorihtm; Krotov Algorithm; GRAPE; Bosonic Josephson Junction (BJJ); 539
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Lapert, M. (2011). Développement de nouvelles techniques de contrôle optimal en dynamique quantique : de la Résonance Magnétique Nucléaire à la physique moléculaire : Developement of new techniques of Optimal Control in Quantum Dynamics : from nuclear magnetic resonance to molecular physics. (Doctoral Dissertation). Université de Bourgogne. Retrieved from http://www.theses.fr/2011DIJOS067
Chicago Manual of Style (16th Edition):
Lapert, Marc. “Développement de nouvelles techniques de contrôle optimal en dynamique quantique : de la Résonance Magnétique Nucléaire à la physique moléculaire : Developement of new techniques of Optimal Control in Quantum Dynamics : from nuclear magnetic resonance to molecular physics.” 2011. Doctoral Dissertation, Université de Bourgogne. Accessed February 28, 2021.
http://www.theses.fr/2011DIJOS067.
MLA Handbook (7th Edition):
Lapert, Marc. “Développement de nouvelles techniques de contrôle optimal en dynamique quantique : de la Résonance Magnétique Nucléaire à la physique moléculaire : Developement of new techniques of Optimal Control in Quantum Dynamics : from nuclear magnetic resonance to molecular physics.” 2011. Web. 28 Feb 2021.
Vancouver:
Lapert M. Développement de nouvelles techniques de contrôle optimal en dynamique quantique : de la Résonance Magnétique Nucléaire à la physique moléculaire : Developement of new techniques of Optimal Control in Quantum Dynamics : from nuclear magnetic resonance to molecular physics. [Internet] [Doctoral dissertation]. Université de Bourgogne; 2011. [cited 2021 Feb 28].
Available from: http://www.theses.fr/2011DIJOS067.
Council of Science Editors:
Lapert M. Développement de nouvelles techniques de contrôle optimal en dynamique quantique : de la Résonance Magnétique Nucléaire à la physique moléculaire : Developement of new techniques of Optimal Control in Quantum Dynamics : from nuclear magnetic resonance to molecular physics. [Doctoral Dissertation]. Université de Bourgogne; 2011. Available from: http://www.theses.fr/2011DIJOS067
11.
Zhang, Xiangxiong.
Maximum-Principle-Satisfying and Positivity-Preserving High
Order Schemes for Conservation Laws.
Degree: PhD, Mathematics, 2011, Brown University
URL: https://repository.library.brown.edu/studio/item/bdr:11274/
► This dissertation presents high order schemes for conservation laws which are, total-variation-diminishing for the one-dimensional scalar case,maximum-principle-satisfying for the multi-dimensional scalar case and positivity-preserving for…
(more)
▼ This dissertation presents high order schemes for
conservation laws which are, total-variation-diminishing for the
one-dimensional scalar case,
maximum-
principle-satisfying for the
multi-dimensional scalar case and positivity-preserving for systems
such as compressible Euler equations. For numerical schemes solving
scalar conservation laws, the
maximum principle is a desired
property because numerical solutions violating it might be
physically meaningless. Such schemes for multi-dimensional problems
in the literature were at most second order accurate. Exact time
evolution can be used to construct
maximum-
principle-satisfying
high order schemes for the one-dimensional case but generalizations
to multi-dimension are very difficult. We propose a new general
framework to construct
maximum-
principle-satisfying high order
discontinuous Galerkin method and finite volume schemes by using
strong stability preserving (SSP) Runge-Kutta or multi-step time
discretization. The main advantage of this method includes
straightforward multi-dimensional generalizations on both
structured and unstructured meshes. This is the first time that
genuinely high order schemes are obtained satisfying a strict
maximum principle especially for multi-dimensional nonlinear scalar
conservation laws.The same idea can be used to construct high order
schemes preserving the positivity of certain physical quantities,
such as density and pressure for compressible Euler equations,
water height for shallow water equations, and density for Vlasov
transport equations. These schemes have been applied in
computational fluid dynamics, computational astronomy and
astrophysics, plasma simulation, and traffic flow
models.
Advisors/Committee Members: Shu, Chi-Wang (Director), Strauss, Walter (Reader), Hesthaven, Jan (Reader).
Subjects/Keywords: Maximum-Principle-Satisfying
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Zhang, X. (2011). Maximum-Principle-Satisfying and Positivity-Preserving High
Order Schemes for Conservation Laws. (Doctoral Dissertation). Brown University. Retrieved from https://repository.library.brown.edu/studio/item/bdr:11274/
Chicago Manual of Style (16th Edition):
Zhang, Xiangxiong. “Maximum-Principle-Satisfying and Positivity-Preserving High
Order Schemes for Conservation Laws.” 2011. Doctoral Dissertation, Brown University. Accessed February 28, 2021.
https://repository.library.brown.edu/studio/item/bdr:11274/.
MLA Handbook (7th Edition):
Zhang, Xiangxiong. “Maximum-Principle-Satisfying and Positivity-Preserving High
Order Schemes for Conservation Laws.” 2011. Web. 28 Feb 2021.
Vancouver:
Zhang X. Maximum-Principle-Satisfying and Positivity-Preserving High
Order Schemes for Conservation Laws. [Internet] [Doctoral dissertation]. Brown University; 2011. [cited 2021 Feb 28].
Available from: https://repository.library.brown.edu/studio/item/bdr:11274/.
Council of Science Editors:
Zhang X. Maximum-Principle-Satisfying and Positivity-Preserving High
Order Schemes for Conservation Laws. [Doctoral Dissertation]. Brown University; 2011. Available from: https://repository.library.brown.edu/studio/item/bdr:11274/
12.
Dhar, Gaurav.
Contributions en théorie du contrôle échantillonné optimal avec contraintes d’état et données non lisses : Contributions in optimal sampled-data control theory with state constraintsand nonsmooth data.
Degree: Docteur es, Mathematiques et applications, 2020, Limoges
URL: http://www.theses.fr/2020LIMO0050
► L’objectif de cette thèse est d’obtenir des conditions nécessaires d’optimalité du premier ordre sous la forme d’un principe du maximum de Pontryagin (en abrégé PMP)…
(more)
▼ L’objectif de cette thèse est d’obtenir des conditions nécessaires d’optimalité du premier ordre sous la forme d’un principe du
maximum de
Pontryagin (en abrégé PMP) pour des problèmes de contrôle échantillonné optimal avec temps d’échantillonnage libres, contraintes d’état et coûts de Mayer non lisses. Le Chapitre 1 est consacré aux notations et espaces fonctionnels utiles pour décrire les problèmes de contrôle échantillonné optimal qui seront rencontré
s dans le manuscrit. Dans le Chapitre 2, nous obtenons une condition nécessaire d’optimalité lorsque les temps d’échantillonnage peuvent être choisis librement qui est appelée condition de continuité de la fonction Hamiltonienne. Rappelons que la fonction Hamiltonienne qui décrit l’évolution du Hamiltonien avec les valeurs de la trajectoire optimale et du contrôle échantillonné optimal est, en général, discontinue quand les temps d’échantillonnage sont fixé
s. Notre résultat démontre que la continuité de la fonction Hamiltonienne est retrouvée pour les contrôles échantillonné
s optimaux avec temps d’échantillonnage optimaux. Pour terminer, nous implémentons une méthode de tir basée sur la condition de continuité de la fonction Hamiltonienne pour déterminer numériquement les temps d’échantillonnage optimaux dans deux exemples linéaires-quadratiques. Dans le Chapitre 3, nous obtenons un PMP pour des problèmes de contrôle échantillonné optimal avec contraintes d’état. Nous obtenons que les vecteurs adjoints sont solutions de problèmes de Cauchy-Stieltjes définis par des mesures de Borel associées à des fonctions à variation bornée. De plus, nous trouvons que, sous quelques hypothèses assez générales, toute trajectoire admissible (associée à un contrôle échantillonné) rebondit nécessairement sur les contraintes d’état. Nous exploitons ce phénomène de trajectoires rebondissantes pour implémenter une méthode indirecte qu’on utilise pour résoudre numériquement quelques exemples simples de problèmes de contrôle échantillonné optimal avec contraintes d’état. Dans le Chapitre 4, nous obtenons un PMP pour des problèmes de contrôle échantillonné optimal avec coûts de Mayer non lisses. Notre preuve est uniquement basée sur les outils de l’analyse non lisse et n’utilise aucune technique de régularisation. Nous déterminons l’existence d’une sélection dans le sous-différentiel de la fonction de coût de Mayer non lisse en établissant un résultat plus général sur l’existence d’un vecteur séparant universel pour les ensembles convexes compacts. En appliquant ce résultat, appelé théorème de vecteur séparant universel, nous obtenons un PMP pour des problèmes de contrôle échantillonné optimal avec coûts de Mayer non lisses où la condition de transversalité sur le vecteur adjoint est donnée par une inclusion dans le sous-différentiel de la fonction de coût de Mayer non lisse. Pour obtenir les conditions d’optimalité sous la forme d’un PMP, nous utilisons différentes techniques de perturbation sur le contrôle optimal. Pour traiter les contraintes d’état, nous pénalisons la distance à ces…
Advisors/Committee Members: Adly, Samir (thesis director), Bourdin, Loïc (thesis director).
Subjects/Keywords: Contrôle optimal; Contrôle échantillonné; Principe du maximum de Pontryagin; Principe variation-nel d’Ekeland; Temps d’échantillonnage optimaux; Continuité de la fonction Hamiltonienne; Contraintes d’état; Problèmes de Cauchy-Stieltjes; Analyse non lisse; Méthodes numériques indirectes; Méthodes de tir; Optimal control; Sampled-data control; Pontryagin maximum principle; Ekeland variational principle,; Optimal sampling times; Hamiltonian continuity; Running state constraints; Cauchy-Stieltjes problems; Nonsmooth analysis; Indirect numerical methods; Shooting methods; 519.6
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Dhar, G. (2020). Contributions en théorie du contrôle échantillonné optimal avec contraintes d’état et données non lisses : Contributions in optimal sampled-data control theory with state constraintsand nonsmooth data. (Doctoral Dissertation). Limoges. Retrieved from http://www.theses.fr/2020LIMO0050
Chicago Manual of Style (16th Edition):
Dhar, Gaurav. “Contributions en théorie du contrôle échantillonné optimal avec contraintes d’état et données non lisses : Contributions in optimal sampled-data control theory with state constraintsand nonsmooth data.” 2020. Doctoral Dissertation, Limoges. Accessed February 28, 2021.
http://www.theses.fr/2020LIMO0050.
MLA Handbook (7th Edition):
Dhar, Gaurav. “Contributions en théorie du contrôle échantillonné optimal avec contraintes d’état et données non lisses : Contributions in optimal sampled-data control theory with state constraintsand nonsmooth data.” 2020. Web. 28 Feb 2021.
Vancouver:
Dhar G. Contributions en théorie du contrôle échantillonné optimal avec contraintes d’état et données non lisses : Contributions in optimal sampled-data control theory with state constraintsand nonsmooth data. [Internet] [Doctoral dissertation]. Limoges; 2020. [cited 2021 Feb 28].
Available from: http://www.theses.fr/2020LIMO0050.
Council of Science Editors:
Dhar G. Contributions en théorie du contrôle échantillonné optimal avec contraintes d’état et données non lisses : Contributions in optimal sampled-data control theory with state constraintsand nonsmooth data. [Doctoral Dissertation]. Limoges; 2020. Available from: http://www.theses.fr/2020LIMO0050

Universidade do Minho
13.
Gonçalves, João Nuno Costa.
Epidemiological models and optimal control theory - Applications to marketing and computer viruses transmission
.
Degree: 2017, Universidade do Minho
URL: http://hdl.handle.net/1822/46381
► Epidemiological models and Optimal Control Theory are closely interrelated, inasmuch as the development of control interventions that could help to perceive and minimize the spread…
(more)
▼ Epidemiological models and Optimal Control Theory are closely interrelated, inasmuch as
the development of control interventions that could help to perceive and minimize the spread
of infection diseases is a pressing need. However, the application of these two subjects can be
extended to other scientific domains apart from health. In this respect, this dissertation takes
advantage of the foundations of Mathematical Epidemiology and Optimal Control Theory to
study the dynamics of Viral Marketing within a certain population and, with less detail, Computer
Viruses Transmission into network systems.
Due to the fierce marketing competition, not all the marketing campaigns become viral, and
formulate strategies that could leverage traditional marketing campaigns is not a trivial task. In
this regard, since the process of diffusing Viral Marketing campaigns through social networks can
be modeled under concepts of Mathematical Epidemiology and being strategy the keyword, the
benefits of Optimal Control Theory on the diffusion of a real viral advertisement are studied and
control strategies to maximize the spread of viral messages with low cost are investigated and
proposed in optimal time windows. Numerical methods based on the Pontryagin’
s Maximum
Principle (indirect methods) and methods that treat the Optimal Control problem as a nonlinear
constrained optimization problem (direct methods) are tested and compared, using different
numerical solvers.
In an introductory way, Computer Viruses Transmission and its dynamics are briefly studied
by using epidemiological modeling over networks. In addition, an R software package related to
the mathematical modeling of infectious diseases is discussed and the propagation of computer
viruses within a network system is illustrated.
Advisors/Committee Members: Monteiro, M. Teresa T (advisor), Rodrigues, Helena (advisor).
Subjects/Keywords: Epidemiological Dynamical Systems;
Optimal Control Theory;
Pontryagin’s Maximum Principle;
Mathematical Modeling and Optimization;
Viral Marketing;
Computer Viruses Transmission;
Sistemas Dinâmicos Epidemiológicos;
Teoria do Controlo Ótimo;
Princípio do Máximo de Pontryagin;
Modelação Matemática e Otimização;
Marketing Viral;
Transmissão de Vírus Informáticos
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APA (6th Edition):
Gonçalves, J. N. C. (2017). Epidemiological models and optimal control theory - Applications to marketing and computer viruses transmission
. (Masters Thesis). Universidade do Minho. Retrieved from http://hdl.handle.net/1822/46381
Chicago Manual of Style (16th Edition):
Gonçalves, João Nuno Costa. “Epidemiological models and optimal control theory - Applications to marketing and computer viruses transmission
.” 2017. Masters Thesis, Universidade do Minho. Accessed February 28, 2021.
http://hdl.handle.net/1822/46381.
MLA Handbook (7th Edition):
Gonçalves, João Nuno Costa. “Epidemiological models and optimal control theory - Applications to marketing and computer viruses transmission
.” 2017. Web. 28 Feb 2021.
Vancouver:
Gonçalves JNC. Epidemiological models and optimal control theory - Applications to marketing and computer viruses transmission
. [Internet] [Masters thesis]. Universidade do Minho; 2017. [cited 2021 Feb 28].
Available from: http://hdl.handle.net/1822/46381.
Council of Science Editors:
Gonçalves JNC. Epidemiological models and optimal control theory - Applications to marketing and computer viruses transmission
. [Masters Thesis]. Universidade do Minho; 2017. Available from: http://hdl.handle.net/1822/46381
14.
Cellier, Loïc.
Evitement de conflits aériens par une régulation subliminale en vitesse : modélisation & résolution via le contrôle optimal : Velocity-based aircraft conflict avoidance through optimal control model and solution approaches.
Degree: Docteur es, Mathématiques appliquées, 2015, Université Toulouse III – Paul Sabatier
URL: http://www.theses.fr/2015TOU30194
► À travers une approche de contrôle optimal, cette thèse de doctorat propose une étude des modèles et des techniques de résolution dans un domaine d'application…
(more)
▼ À travers une approche de contrôle optimal, cette thèse de doctorat propose une étude des modèles et des techniques de résolution dans un domaine d'application propre à la gestion du trafic aérien. Motivés par la croissance des flux aériens d'une part, et les développements en théorie du contrôle optimal d'autre part, ces travaux portent sur l'analyse du problème d'évitement de conflits aériens. Cette étude permet le développement de nouvelles approches et algorithmes en vue d'aider les contrôleurs aériens dans leur tâche. Ainsi, dans le cadre du trafic aérien, afin de préserver des distances minimales de sécurité entre avions, lors de phases tactiques et de configurations des vols en-route, notre recherche se focalise sur une stratégie de régulation subliminale en vitesse (variations très réduites), pour assurer la séparation entre avions, tout en conservant leur trajectoire prédéfinie. D'une part, une méthode de résolution numérique en contrôle optimal telle que la méthode directe de tir, impliquant une discrétisation totale ou partielle du problème, transforme le problème initial en un problème en programmation non linéaire de grande taille. Ce type de méthodes peut générer des problèmes d'optimisation de grande taille numériquement di_ciles à résoudre. Suivant le nombre de variables du problème, elles peuvent s'avérer trop coûteuse en termes de temps de calculs. D'autre part, les contraintes sur les variables d'états du problème posent des di_cultés de résolution, par exemple, pour l'usage d'une méthode numérique indirecte de tir. Développant les informations caractéristiques des conflits aériens, une détection et une détermination a priori des zones de conflits permettent alors la décomposition du problème présenté de contrôle optimal en sous-problèmes plus aisés à résoudre. La résolution des sous-problèmes hors-zones peut être abordée en utilisant les conditions du principe du maximum de Pontryagin, ce qui en permet une résolution e_cace. Une combinaison de méthodes numériques directes de tir et d'application des conditions du principe du maximum de Pontryagin est proposée, et des implémentations numériques valident ce type d'approche.
The purpose of this doctoral thesis is to study models and solution techniques based on optimal control approaches to address air tra_c management problems. Motivated by the growth of air tra_c volume, and by the advances in optimal control theory, this research works focus on analysing aircraft conflict avoidance problem. This study allows development of new approaches and algorithms to help air tra_c controllers. In the framework of air tra_c management, to ensure the minimum safety distances between aircraft, in tactical phases and en-route flight configurations, this thesis focusses on a subliminal velocity regulation strategy to perform the separation, while preserving the aircraft predefined trajectories. A numerical optimal control solution approach as the direct shooting method, wherein involves a total or partial discretization of the problem, transforms the initial…
Advisors/Committee Members: Cafieri, Sonia (thesis director), Messine, Frédéric (thesis director).
Subjects/Keywords: Contrôle optimal; Principe du maximum de Pontryagin; Méthodes numériques de tir; Optimisation non linéaire; Recherche opérationnelle; Aide à la décision; Gestion du trafic aérien; Problème d'évitement de conflits aériens; Régulation en vitesse; Modélisation mathématique; Systèmes dynamiques; Optimal control; Pontryagin maximum principle; Numerical shooting methods; Nonlinear optimization; Operations/operational research; Decision-support; Air traffic management; Aircraft conflict avoidance problem; Velocity regulation; Mathematical modelling; Dynamical system
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Cellier, L. (2015). Evitement de conflits aériens par une régulation subliminale en vitesse : modélisation & résolution via le contrôle optimal : Velocity-based aircraft conflict avoidance through optimal control model and solution approaches. (Doctoral Dissertation). Université Toulouse III – Paul Sabatier. Retrieved from http://www.theses.fr/2015TOU30194
Chicago Manual of Style (16th Edition):
Cellier, Loïc. “Evitement de conflits aériens par une régulation subliminale en vitesse : modélisation & résolution via le contrôle optimal : Velocity-based aircraft conflict avoidance through optimal control model and solution approaches.” 2015. Doctoral Dissertation, Université Toulouse III – Paul Sabatier. Accessed February 28, 2021.
http://www.theses.fr/2015TOU30194.
MLA Handbook (7th Edition):
Cellier, Loïc. “Evitement de conflits aériens par une régulation subliminale en vitesse : modélisation & résolution via le contrôle optimal : Velocity-based aircraft conflict avoidance through optimal control model and solution approaches.” 2015. Web. 28 Feb 2021.
Vancouver:
Cellier L. Evitement de conflits aériens par une régulation subliminale en vitesse : modélisation & résolution via le contrôle optimal : Velocity-based aircraft conflict avoidance through optimal control model and solution approaches. [Internet] [Doctoral dissertation]. Université Toulouse III – Paul Sabatier; 2015. [cited 2021 Feb 28].
Available from: http://www.theses.fr/2015TOU30194.
Council of Science Editors:
Cellier L. Evitement de conflits aériens par une régulation subliminale en vitesse : modélisation & résolution via le contrôle optimal : Velocity-based aircraft conflict avoidance through optimal control model and solution approaches. [Doctoral Dissertation]. Université Toulouse III – Paul Sabatier; 2015. Available from: http://www.theses.fr/2015TOU30194
15.
Santos, Telma João.
Some versions of the Strong Maximum Principal for elliptic integral functionals.
Degree: 2011, Universidade de Évora
URL: https://www.rcaap.pt/detail.jsp?id=oai:dspace.uevora.pt:10174/9506
► The Strong Maximum Principle (SMP) is a well-known property, which can be recognized as a kind of uniqueness result for solutions of Partial Differential Equations.…
(more)
▼ The Strong
Maximum Principle (SMP) is a well-known property, which can be recognized as a kind of uniqueness result for solutions of Partial Differential Equations. Through the necessary conditions of optimality it is applicable to minimizers in some classes of variational problems as well. The work is devoted to various versions of SMP in such variational setting, which hold also if the respective Euler-Lagrange equations are no longer valid. We prove variational SMP for some types of integral functionals in the traditional sense as well as obtain an extension of this
principle, which can be seen as an extremal property of a series of specific functions.
Advisors/Committee Members: Goncharov, Vladimir V., Cellina, Arrigo.
Subjects/Keywords: Strong Maximum Principle; Comparison Results
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Santos, T. J. (2011). Some versions of the Strong Maximum Principal for elliptic integral functionals. (Thesis). Universidade de Évora. Retrieved from https://www.rcaap.pt/detail.jsp?id=oai:dspace.uevora.pt:10174/9506
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Santos, Telma João. “Some versions of the Strong Maximum Principal for elliptic integral functionals.” 2011. Thesis, Universidade de Évora. Accessed February 28, 2021.
https://www.rcaap.pt/detail.jsp?id=oai:dspace.uevora.pt:10174/9506.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Santos, Telma João. “Some versions of the Strong Maximum Principal for elliptic integral functionals.” 2011. Web. 28 Feb 2021.
Vancouver:
Santos TJ. Some versions of the Strong Maximum Principal for elliptic integral functionals. [Internet] [Thesis]. Universidade de Évora; 2011. [cited 2021 Feb 28].
Available from: https://www.rcaap.pt/detail.jsp?id=oai:dspace.uevora.pt:10174/9506.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Santos TJ. Some versions of the Strong Maximum Principal for elliptic integral functionals. [Thesis]. Universidade de Évora; 2011. Available from: https://www.rcaap.pt/detail.jsp?id=oai:dspace.uevora.pt:10174/9506
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
16.
Rojas Quintero, Juan Antonio.
Contribution à la manipulation dextre dynamique pour les aspects conceptuels et de commande en ligne optimale : Contribution to dynamic dexterous manipulation : design elements and optimal control.
Degree: Docteur es, Mécanique des solides, robotique, biomécanique et bioingénierie, 2013, Poitiers
URL: http://www.theses.fr/2013POIT2284
► Nous nous intéressons à la conception des mains mécaniques anthropomorphes destinées à manipuler des objets dans un environnement humain. Via l'analyse du mouvement de sujets…
(more)
▼ Nous nous intéressons à la conception des mains mécaniques anthropomorphes destinées à manipuler des objets dans un environnement humain. Via l'analyse du mouvement de sujets humains lors d'une tâche de manipulation de référence, nous proposons une méthode pour évaluer la capacité des mains robotiques à manipuler les objets. Nous montrons comment les rapports de couplage angulaires entre les articulations et les limites articulaires, influent sur l'aptitude à manipuler dynamiquement des objets. Nous montrons également l'impact du poignet sur les tâches de manipulation rapides. Nous proposons une stratégie pour calculer les forces de manipulation en bout de doigts et dimensionner les moteurs d'un tel préhenseur. La méthode proposée est dépendante de la tâche visée et s'adapte à tout type de mouvement dès lors qu'il peut être capturé et analysé. Dans une deuxième partie, consacrée aux robots manipulateurs, nous élaborons des algorithmes de commande optimale. En considérant l'énergie cinétique du robot comme une métrique, le modèle dynamique est formulé sous forme tensorielle dans le cadre de la géométrie Riemannienne. La discrétisation temporelle est basée sur les Éléments Finis d'Hermite. Nous intégrons les équations de Lagrange du mouvement par une méthode de perturbation. Des exemples de simulation illustrent la superconvergence de la technique d'Hermite. Le critère de contrôle est choisi indépendant des paramètres de configuration. Les équations de la commande associées aux équations du mouvement se révèlent covariantes. La méthode de commande optimale proposée consiste à minimiser la fonction objective correspondant au critère invariant sélectionné.
We focus on the design of anthropomorphous mechanical hands destined to manipulate objects in a human environment. Via the motion analysis of a reference manipulation task performed by human subjects, we propose a method to evaluate a robotic hand manipulation capacities. We demonstrate how the angular coupling between the fingers joints and the angular limits affect the hands potential to manipulate objects. We also show the influence of the wrist motions on the manipulation task. We propose a strategy to calculate the fingertip manipulation forces and dimension the fingers motors. In a second part devoted to articulated robots, we elaborate optimal control algorithms. Regarding the kinetic energy of the robot as a metric, the dynamic model is formulated tensorially in the framework of Riemannian geometry. The time discretization is based on the Hermite Finite Elements.A time integration algorithm is designed by implementing a perturbation method of the Lagrange's motion equations. Simulation examples illustrate the superconvergence of the Hermite's technique. The control criterion is selected to be coordinate free. The control equations associated with the motion equations reveal to be covariant. The suggested control method consists in minimizing the objective function corresponding to the selected invariant criterion.
Advisors/Committee Members: Arsicault, Marc (thesis director), Gazeau, Jean-Pierre (thesis director), Seguin, Pascal (thesis director).
Subjects/Keywords: Main robotique; Manipulation dextre; Conception bio-inspirée; Dynamique des systèmes multicorps; Commande optimale; Géométrie riemannienne; Tenseur de courbure de Riemann-Christoffel; Éléments finis d'Hermite; Principe du maximum de Pontriaguine; Robotic hand; Dexterous manipulation; Bio-inspired design; Multibody dynamics; Optimal control; Riemannian geometry; Riemann-Christoffel curvature tensor; Hermite finite elements; Pontryagin maximum principle; 629.8
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Rojas Quintero, J. A. (2013). Contribution à la manipulation dextre dynamique pour les aspects conceptuels et de commande en ligne optimale : Contribution to dynamic dexterous manipulation : design elements and optimal control. (Doctoral Dissertation). Poitiers. Retrieved from http://www.theses.fr/2013POIT2284
Chicago Manual of Style (16th Edition):
Rojas Quintero, Juan Antonio. “Contribution à la manipulation dextre dynamique pour les aspects conceptuels et de commande en ligne optimale : Contribution to dynamic dexterous manipulation : design elements and optimal control.” 2013. Doctoral Dissertation, Poitiers. Accessed February 28, 2021.
http://www.theses.fr/2013POIT2284.
MLA Handbook (7th Edition):
Rojas Quintero, Juan Antonio. “Contribution à la manipulation dextre dynamique pour les aspects conceptuels et de commande en ligne optimale : Contribution to dynamic dexterous manipulation : design elements and optimal control.” 2013. Web. 28 Feb 2021.
Vancouver:
Rojas Quintero JA. Contribution à la manipulation dextre dynamique pour les aspects conceptuels et de commande en ligne optimale : Contribution to dynamic dexterous manipulation : design elements and optimal control. [Internet] [Doctoral dissertation]. Poitiers; 2013. [cited 2021 Feb 28].
Available from: http://www.theses.fr/2013POIT2284.
Council of Science Editors:
Rojas Quintero JA. Contribution à la manipulation dextre dynamique pour les aspects conceptuels et de commande en ligne optimale : Contribution to dynamic dexterous manipulation : design elements and optimal control. [Doctoral Dissertation]. Poitiers; 2013. Available from: http://www.theses.fr/2013POIT2284
17.
Ngo, Thoi-Nhan.
Contrôle optimal en temps discret et en horizon infini : Optimal control in discrete-time framework and in infinite horizon.
Degree: Docteur es, Mathématiques appliquées, 2016, Paris 1
URL: http://www.theses.fr/2016PA01E062
► Cette thèse contient des contributions originales à la théorie du Contrôle Optimal en temps discret et en horizon infini du point de vue de Pontryagin.…
(more)
▼ Cette thèse contient des contributions originales à la théorie du Contrôle Optimal en temps discret et en horizon infini du point de vue de Pontryagin. Il y a 5 chapitres dans cette thèse. Dans le chapitre 1, nous rappelons des résultats préliminaires sur les espaces de suites à valeur dans et des résultats de Calcul Différentiel. Dans le chapitre 2, nous étudions le problème de Contrôle Optimal, en temps discret et en horizon infini avec la contrainte asymptotique et avec le système autonome. En utilisant la structure d'espace affine de Banach de l'ensemble des suites convergentes vers 0, et la structure d'espace vectoriel de Banach de l'ensemble des suites bornées, nous traduisons ce problème en un problème d'optimisation statique dam des espaces de Banach. Après avoir établi des résultats originaux sur les opérateurs de Nemytskii sur les espaces de suites et après avoir adapté à notre problème un théorème d'existence de multiplicateurs, nous établissons un nouveau principe de Pontryagin faible pour notre problème. Dans le chapitre 3, nous établissons un principe de Pontryagin fort pour les problèmes considérés au chapitre 2 en utilisant un résultat de Ioffe-Tihomirov. Le chapitre 4 est consacré aux problèmes de Contrôle Optimal, en temps discret et en horizon infini, généraux avec plusieurs critères différents. La méthode utilisée est celle de la réduction à l'horizon fini, initiée par J. Blot et H. Chebbi en 2000. Les problèmes considérés sont gouvernés par des équations aux différences ou des inéquations aux différences. Un nouveau principe de Pontryagin faible est établi en utilisant un résultat récent de J. Blot sur les multiplicateurs à la Fritz John. Le chapitre 5 est consacré aux problèmes multicritères de Contrôle Optimal en temps discret et en horizon infini. De nouveaux principes de Pontryagin faibles et forts sont établis, là-aussi en utilisant des résultats récents d'optimisation, sous des hypothèses plus faibles que celles des résultats existants.
This thesis contains original contributions to the optimal control theory in the discrete-time framework and in infinite horizon following the viewpoint of Pontryagin. There are 5 chapters in this thesis. In Chapter 1, we recall preliminary results on sequence spaces and on differential calculus in normed linear space. In Chapter 2, we study a single-objective optimal control problem in discrete-time framework and in infinite horizon with an asymptotic constraint and with autonomous system. We use an approach of functional analytic for this problem after translating it into the form of an optimization problem in Banach (sequence) spaces. Then a weak Pontyagin principle is established for this problem by using a classical multiplier rule in Banach spaces. In Chapter 3, we establish a strong Pontryagin principle for the problems considered in Chapter 2 using a result of Ioffe and Tihomirov. Chapter 4 is devoted to the problems of Optimal Control, in discrete time framework and in infinite horizon, which are more general with several different criteria. The…
Advisors/Committee Members: Blot, Joël (thesis director).
Subjects/Keywords: Contrôle optimal; Temps discret; Horizon infini; Système dynamique; Principe de Pontryagin; Espaces de suite; Optimal control; Discrete time; Infinite horizon; Dynamical system; Pontryagin principle; Sequence spaces; 515.642
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Ngo, T. (2016). Contrôle optimal en temps discret et en horizon infini : Optimal control in discrete-time framework and in infinite horizon. (Doctoral Dissertation). Paris 1. Retrieved from http://www.theses.fr/2016PA01E062
Chicago Manual of Style (16th Edition):
Ngo, Thoi-Nhan. “Contrôle optimal en temps discret et en horizon infini : Optimal control in discrete-time framework and in infinite horizon.” 2016. Doctoral Dissertation, Paris 1. Accessed February 28, 2021.
http://www.theses.fr/2016PA01E062.
MLA Handbook (7th Edition):
Ngo, Thoi-Nhan. “Contrôle optimal en temps discret et en horizon infini : Optimal control in discrete-time framework and in infinite horizon.” 2016. Web. 28 Feb 2021.
Vancouver:
Ngo T. Contrôle optimal en temps discret et en horizon infini : Optimal control in discrete-time framework and in infinite horizon. [Internet] [Doctoral dissertation]. Paris 1; 2016. [cited 2021 Feb 28].
Available from: http://www.theses.fr/2016PA01E062.
Council of Science Editors:
Ngo T. Contrôle optimal en temps discret et en horizon infini : Optimal control in discrete-time framework and in infinite horizon. [Doctoral Dissertation]. Paris 1; 2016. Available from: http://www.theses.fr/2016PA01E062

Universitat Politècnica de València
18.
Reig Bernad, Alberto.
Optimal Control for Automotive Powertrain Applications
.
Degree: 2017, Universitat Politècnica de València
URL: http://hdl.handle.net/10251/90624
► Optimal Control (OC) is essentially a mathematical extremal problem. The procedure consists on the definition of a criterion to minimize (or maximize), some constraints that…
(more)
▼ Optimal Control (OC) is essentially a mathematical extremal problem. The procedure consists on the definition of a criterion to minimize (or maximize), some constraints that must be fulfilled and boundary conditions or disturbances affecting to the system behavior. The OC theory supplies methods to derive a control trajectory that minimizes (or maximizes) that criterion.
This dissertation addresses the application of OC to automotive control problems at the powertrain level, with emphasis on the internal combustion engine. The necessary tools are an optimization method and a mathematical representation of the powertrain. Thus, the OC theory is reviewed with a quantitative analysis of the advantages and drawbacks of the three optimization methods available in literature: dynamic programming,
Pontryagin minimum
principle and direct methods. Implementation algorithms for these three methods are developed and described in detail. In addition to that, an experimentally validated dynamic powertrain model is developed, comprising longitudinal vehicle dynamics, electrical motor and battery models, and a mean value engine model.
OC can be utilized for three different purposes:
1. Applied control, when all boundaries can be accurately defined. The engine control is addressed with this approach assuming that a the driving cycle is known in advance, translating into a large mathematical problem. Two specific cases are studied: the management of a dual-loop EGR system, and the full control of engine actuators, namely fueling rate, SOI, EGR and VGT settings.
2. Derivation of near-optimal control rules, to be used if some disturbances are unknown. In this context, cycle-specific engine calibrations calculation, and a stochastic feedback control for power-split management in hybrid vehicles are analyzed.
3. Use of OC trajectories as a benchmark or base line to improve the system design and efficiency with an objective criterion. OC is used to optimize the heat release law of a diesel engine and to size a hybrid powertrain with a further cost analysis.
OC strategies have been applied experimentally in the works related to the internal combustion engine, showing significant improvements but non-negligible difficulties, which are analyzed and discussed. The methods developed in this dissertation are general and can be extended to other criteria if appropriate models are available.; El Control Óptimo (CO) es esencialmente un problema matemático de búsqueda de extremos, consistente en la definición de un criterio a minimizar (o maximizar), restricciones que deben satisfacerse y condiciones de contorno que afectan al sistema. La teoría de CO ofrece métodos para derivar una trayectoria de control que minimiza (o maximiza) ese criterio.
Esta Tesis trata la aplicación del CO en automoción, y especialmente en el motor de combustión interna. Las herramientas necesarias son un método de optimización y una representación matemática de la planta motriz. Para ello, se realiza un análisis cuantitativo de las ventajas e inconvenientes de los…
Advisors/Committee Members: Plá Moreno, Benjamín (advisor).
Subjects/Keywords: optimal control;
eco-driving;
dynamic programming;
Pontryagin minimum principle;
nonlinear programming;
direct methods;
cruise control;
optimization;
internal combustion engine
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Reig Bernad, A. (2017). Optimal Control for Automotive Powertrain Applications
. (Doctoral Dissertation). Universitat Politècnica de València. Retrieved from http://hdl.handle.net/10251/90624
Chicago Manual of Style (16th Edition):
Reig Bernad, Alberto. “Optimal Control for Automotive Powertrain Applications
.” 2017. Doctoral Dissertation, Universitat Politècnica de València. Accessed February 28, 2021.
http://hdl.handle.net/10251/90624.
MLA Handbook (7th Edition):
Reig Bernad, Alberto. “Optimal Control for Automotive Powertrain Applications
.” 2017. Web. 28 Feb 2021.
Vancouver:
Reig Bernad A. Optimal Control for Automotive Powertrain Applications
. [Internet] [Doctoral dissertation]. Universitat Politècnica de València; 2017. [cited 2021 Feb 28].
Available from: http://hdl.handle.net/10251/90624.
Council of Science Editors:
Reig Bernad A. Optimal Control for Automotive Powertrain Applications
. [Doctoral Dissertation]. Universitat Politècnica de València; 2017. Available from: http://hdl.handle.net/10251/90624
19.
Francisco das Chagas Carvalho.
Transferências ótimas a baixo empuxo e potência limitada entre órbitas elípticas quaisquer.
Degree: 2004, Instituto Nacional de Pesquisas Espaciais
URL: http://urlib.net/sid.inpe.br/jeferson/2004/08.03.16.03
► Neste trabalho é apresentada uma análise do problema de transferências espaciais ótimas entre órbitas coplanares e coaxiais diretas, entre órbitas coplanares não coaxiais diretas e…
(more)
▼ Neste trabalho é apresentada uma análise do problema de transferências espaciais ótimas entre órbitas coplanares e coaxiais diretas, entre órbitas coplanares não coaxiais diretas e entre órbitas não-coplanares coaxiais diretas em campo central Newtoniano, realizadas através de sistemas propulsivos a baixo empuxo e potência limitada. O problema geral de transferências é inicialmente formulado como um problema de Mayer da teoria de controle ótimo com elementos cartesianos vetores posição e velocidade como variáveis de estado. Após a determinação da Hamiltoniana máxima que descreve as trajetórias extremas, pelo Princípio de Máximo de Pontryagin, elementos orbitais clássicos são introduzidos através de uma transformação canônica transformação de Mathieu definida a partir da solução geral do núcleo integrável da função Hamiltoniana. Os termos de curto período são eliminados da Hamiltoniana máxima através de uma transformação canônica infinitesimal construída através do método de Hori. A Hamiltoniana máxima média que descreve as trajetórias extremais associadas às manobras de longa duração para as transferências simples acima citadas possui uma forma quadrática nas variáveis adjuntas que possibilita a resolução das equações canônicas. Para as manobras de longa duração, é investigada a existência de pontos conjugados através da condição de Jacobi e são construídas as curvas de isoconsumo referentes a uma manobra de duração especificada.
The problem of low thrust limited power propulsion maneuvers in a central gravity field is analyzed in this work. The problem of optimal direct transfer between coplanar coaxial orbits, direct transfer between coplanar non-coaxial orbits and direct transfer between non-coplanar coaxial orbits are treated. The general problem of transfers is formulated initially as a Mayer problem of the theory of optimal control, in which Cartesian elements position and velocity vectors are taken as state variables. After the determination of the maximum Hamiltonian that describes the extremals trajectories, through the Maximum Pontryagin Principle, classical orbital elements are introduced through a canonical transformation - Mathieu transformation- defined from the general solution of the kernel integrable of the Hamiltonian function. The terms of short period are eliminated from the maximum Hamiltonian through an infinitesimal canonical transformation constructed with the Horis method. The "mean" maximum Hamiltonian that describes the extremal trajectories associated with the maneuvers of long duration for the simple transfers mentioned has a quadratic form in the adjoint variables that facilitates the resolution of the canonical equations. For the maneuvers of long duration, the existence of conjugate points through the Jacobi conditions is investigated and the curves of equal propellant consumption with respect to a maneuver of specified duration are constructed.
Advisors/Committee Members: Rodolpho Vihena de Moraes, Sandro da Silva Fernandes, Antonio Fernando Bertachini Almeida Prado, Marcelo Lopes de Oliveira e Souza, Maria Cecília F. P. Santos Zanardi, Riberto Vieira Martins, Roberto Vieira da Fonseca Lopes, Antônio Cândido Faleiro.
Subjects/Keywords: órbita; órbitas circulares; órbitas elípticas; mecânica orbital; satélites artificiais; baixo empuxo; potência limitada; otimização de trajetória; princípio de máximo de Pontryagin; transformação canônica; orbits; circular orbits; orbital mechanics; artificial satellites; low thust; limited power; trajectory optimization; maximum principle of the pontryagin; canonical transformation
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APA ·
Chicago ·
MLA ·
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APA (6th Edition):
Carvalho, F. d. C. (2004). Transferências ótimas a baixo empuxo e potência limitada entre órbitas elípticas quaisquer. (Thesis). Instituto Nacional de Pesquisas Espaciais. Retrieved from http://urlib.net/sid.inpe.br/jeferson/2004/08.03.16.03
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Carvalho, Francisco das Chagas. “Transferências ótimas a baixo empuxo e potência limitada entre órbitas elípticas quaisquer.” 2004. Thesis, Instituto Nacional de Pesquisas Espaciais. Accessed February 28, 2021.
http://urlib.net/sid.inpe.br/jeferson/2004/08.03.16.03.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Carvalho, Francisco das Chagas. “Transferências ótimas a baixo empuxo e potência limitada entre órbitas elípticas quaisquer.” 2004. Web. 28 Feb 2021.
Vancouver:
Carvalho FdC. Transferências ótimas a baixo empuxo e potência limitada entre órbitas elípticas quaisquer. [Internet] [Thesis]. Instituto Nacional de Pesquisas Espaciais; 2004. [cited 2021 Feb 28].
Available from: http://urlib.net/sid.inpe.br/jeferson/2004/08.03.16.03.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Carvalho FdC. Transferências ótimas a baixo empuxo e potência limitada entre órbitas elípticas quaisquer. [Thesis]. Instituto Nacional de Pesquisas Espaciais; 2004. Available from: http://urlib.net/sid.inpe.br/jeferson/2004/08.03.16.03
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
20.
Kovaltchouk, Thibaut.
Contributions à la co-optimisation contrôle-dimensionnement sur cycle de vie sous contrainte réseau des houlogénérateurs directs : Contribution to the sizing-control co-optimization over life cycle under grid constraint for direct-drive wave energy converters.
Degree: Docteur es, Électronique, Électrotechnique et Automatique, 2015, Cachan, Ecole normale supérieure
URL: http://www.theses.fr/2015DENS0033
► Les Energies Marines Renouvelables (EMR) se développent aujourd’hui très vite tant au niveau de la recherche amont que de la R&D, et même des premiers…
(more)
▼ Les Energies Marines Renouvelables (EMR) se développent aujourd’hui très vite tant au niveau de la recherche amont que de la R&D, et même des premiers démonstrateurs à la mer. Parmi ces EMR, l'énergie des vagues présente un potentiel particulièrement intéressant. Avec une ressource annuelle brute moyenne estimée à 40 kW/m au large de la côte atlantique, le littoral français est plutôt bien exposé. Mais l’exploitation à grande échelle de cette énergie renouvelable ne sera réalisable et pertinente qu'à condition d'une bonne intégration au réseau électrique (qualité) ainsi que d'une gestion et d'un dimensionnement optimisé au sens du coût sur cycle de vie. Une première solution de génération tout électrique pour un houlogénérateur a d’abord été évaluée dans le cadre de la thèse de Marie RUELLAN menée sur le site de Bretagne du laboratoire SATIE (ENS de Cachan). Ces travaux ont mis en évidence le potentiel de viabilité économique de cette chaîne de conversion et ont permis de poser la question du dimensionnement de l’ensemble convertisseur-machine et de soulever les problèmes associés à la qualité de l’énergie produite. Puis une seconde thèse a été menée par Judicaël AUBRY dans la même équipe de recherche. Elle a consisté, entre autres, en l’étude d’une première solution de traitement des fluctuations de la puissance basée sur un système de stockage par supercondensateurs. Une méthodologie de dimensionnement de l’ensemble convertisseur-machine et de gestion de l’énergie stockée fut également élaborée, mais en découplant le dimensionnement et la gestion de la production d’énergie et de ceux de son système de stockage. Le doctorant devra donc : 1. S’approprier les travaux antérieurs réalisés dans le domaine de la récupération de l’énergie des vagues ainsi que les modèles hydrodynamiques et mécaniques réalisés par notre partenaire : le LHEEA de l’Ecole Centrale de Nantes - 2. Résoudre le problème du couplage entre dimensionnement/gestion de la chaîne de conversion et dimensionnement/gestion du système de stockage. 3. Participer à la réalisation d’un banc test à échelle réduite de la chaine électrique et valider expérimentalement les modèles énergétiques du stockage et des convertisseurs statiques associés - 4. Proposer une méthodologie de dimensionnement de la chaine électrique intégrant le stockage et les lois de contrôle préalablement élaborées 5. Déterminer les gains en termes de capacités de stockage obtenus grâce à la mutualisation de la production (parc de machines) et évaluer l’intérêt d’un stockage centralisé - 6. Analyser l’impact sur le réseau d’une production houlogénérée selon divers scenarii, modèles et outils développés par tous les partenaires dans le cadre du projet QUALIPHE. L’exemple traité sera celui de l’Ile d’Yeu (en collaboration avec le SyDEV.
The work of this PhD thesis deals with the minimization of the per-kWh cost of direct-drive wave energy converter, crucial to the economic feasibility of this technology. Despite the simplicity of such a chain (that should provide a better reliability…
Advisors/Committee Members: Multon, Bernard (thesis director).
Subjects/Keywords: Contrôle prédictif; Dimensionnement sur cycle de vie; Effets d'agrégation; Entrainement direct; Fiabilité; Houlogénérateur direct; Lissage de production; Modèle de vieillissement; Optimisation de la chaîne électromécanique; Batteries Li-ion de puissance; Supercondensateurs; Principe du maximum de Pontryagin; Semiconducteurs de puissance; Stockage d'énergie; Stratégie de contrôle optimisée; Aggregation effect; Aging model; Power output smoothing; Direct drive mechanism; Direct wave energy converter; Electrical chain optimization; Energy storage; Flicker; Life cycle sizing; Model predictive control; Optimized rule-based control; Pontryagin's maximum principle; Power li-ion batteries; Power semiconductor device; Supercapacitors
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Kovaltchouk, T. (2015). Contributions à la co-optimisation contrôle-dimensionnement sur cycle de vie sous contrainte réseau des houlogénérateurs directs : Contribution to the sizing-control co-optimization over life cycle under grid constraint for direct-drive wave energy converters. (Doctoral Dissertation). Cachan, Ecole normale supérieure. Retrieved from http://www.theses.fr/2015DENS0033
Chicago Manual of Style (16th Edition):
Kovaltchouk, Thibaut. “Contributions à la co-optimisation contrôle-dimensionnement sur cycle de vie sous contrainte réseau des houlogénérateurs directs : Contribution to the sizing-control co-optimization over life cycle under grid constraint for direct-drive wave energy converters.” 2015. Doctoral Dissertation, Cachan, Ecole normale supérieure. Accessed February 28, 2021.
http://www.theses.fr/2015DENS0033.
MLA Handbook (7th Edition):
Kovaltchouk, Thibaut. “Contributions à la co-optimisation contrôle-dimensionnement sur cycle de vie sous contrainte réseau des houlogénérateurs directs : Contribution to the sizing-control co-optimization over life cycle under grid constraint for direct-drive wave energy converters.” 2015. Web. 28 Feb 2021.
Vancouver:
Kovaltchouk T. Contributions à la co-optimisation contrôle-dimensionnement sur cycle de vie sous contrainte réseau des houlogénérateurs directs : Contribution to the sizing-control co-optimization over life cycle under grid constraint for direct-drive wave energy converters. [Internet] [Doctoral dissertation]. Cachan, Ecole normale supérieure; 2015. [cited 2021 Feb 28].
Available from: http://www.theses.fr/2015DENS0033.
Council of Science Editors:
Kovaltchouk T. Contributions à la co-optimisation contrôle-dimensionnement sur cycle de vie sous contrainte réseau des houlogénérateurs directs : Contribution to the sizing-control co-optimization over life cycle under grid constraint for direct-drive wave energy converters. [Doctoral Dissertation]. Cachan, Ecole normale supérieure; 2015. Available from: http://www.theses.fr/2015DENS0033
21.
Maamria, Djamaleddine.
Méthodes d’optimisation dynamique de systèmes à plusieurs états pour l'efficacité énergétique automobile : Dynamic optimization in multi-states systems for automobile energy efficiency.
Degree: Docteur es, Mathématique et automatique, 2015, Paris, ENMP
URL: http://www.theses.fr/2015ENMP0024
► La gestion énergétique (EMS) pour véhicules hybrides a pour objectif de déterminer la répartition de puissance entre les différentes sources d'énergie de manière à minimiser…
(more)
▼ La gestion énergétique (EMS) pour véhicules hybrides a pour objectif de déterminer la répartition de puissance entre les différentes sources d'énergie de manière à minimiser la consommation de carburant et/ou les émissions polluantes. L'objectif de cette thèse est de développer un EMS en prenant en compte des températures internes (la température du moteur et/ou la température du système de post-traitement). Dans une première partie et en utilisant une connaissance préalable du cycle de conduite, le calcul d'un EMS est formulé comme un problème de commande optimale. Ensuite, le principe du minimum de Pontryagin (PMP) est utilisé pour résoudre ce problème d'optimisation.~En se basant sur les résultats numériques obtenus, un compromis entre les performances de la stratégie de commande et de la complexité du modèle utilisé pour la calculer est établi. Les différents problèmes étudiés dans cette thèse sont des exemples des simplifications successives de modèle qui peuvent être regroupées dans le concept des perturbations régulières en contrôle optimal sous contrainte de commande discuté ici. Dans une deuxième partie, la formulation de l'ECMS a été généralisée pour inclure les dynamiques thermiques. Ces extensions définissent des stratégies sous-optimales que nous avons testées numériquement et expérimentalement.
Energy management system (EMS) for hybrid vehicles consists on determining the power split between the different energy sources in order to minimize the overall fuel consumption and/or pollutant emissions of the vehicle. The objective of this thesis is to develop an EMS taking into account the internal temperatures (engine temperature and/or catalyst temperature). In a first part and using a prior knowledge of vehicle driving cycle, the EMS design is formulated as an optimal control problem. Then, the PMP is used to solve this optimization problem. Based on the obtained numerical results, some trade-off between performance of the control strategy and complexity of the model used to calculate this strategy is established. The various problems studied in this thesis are examples of successive model simplifications which can be recast in the concept of regular perturbations in optimal control under input constraints discussed here. In a second part, the feedback law of ECMS is generalized to include thermal dynamics. This defines sub-optimal feedback strategies which we have tested numerically and experimentally.
Advisors/Committee Members: Petit, Nicolas (thesis director).
Subjects/Keywords: Superviseur énergétique; Commande optimale; Perturbation régulière; Véhicule électrique hybride; Principe du minimum de Pontryagin; Généralisation de l’ECMS; Energy management; Optimal control; Regular perturbation; Hybrid electric vehicle; Pontryagin minimum principle; ECMS extensions; 620,1
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Maamria, D. (2015). Méthodes d’optimisation dynamique de systèmes à plusieurs états pour l'efficacité énergétique automobile : Dynamic optimization in multi-states systems for automobile energy efficiency. (Doctoral Dissertation). Paris, ENMP. Retrieved from http://www.theses.fr/2015ENMP0024
Chicago Manual of Style (16th Edition):
Maamria, Djamaleddine. “Méthodes d’optimisation dynamique de systèmes à plusieurs états pour l'efficacité énergétique automobile : Dynamic optimization in multi-states systems for automobile energy efficiency.” 2015. Doctoral Dissertation, Paris, ENMP. Accessed February 28, 2021.
http://www.theses.fr/2015ENMP0024.
MLA Handbook (7th Edition):
Maamria, Djamaleddine. “Méthodes d’optimisation dynamique de systèmes à plusieurs états pour l'efficacité énergétique automobile : Dynamic optimization in multi-states systems for automobile energy efficiency.” 2015. Web. 28 Feb 2021.
Vancouver:
Maamria D. Méthodes d’optimisation dynamique de systèmes à plusieurs états pour l'efficacité énergétique automobile : Dynamic optimization in multi-states systems for automobile energy efficiency. [Internet] [Doctoral dissertation]. Paris, ENMP; 2015. [cited 2021 Feb 28].
Available from: http://www.theses.fr/2015ENMP0024.
Council of Science Editors:
Maamria D. Méthodes d’optimisation dynamique de systèmes à plusieurs états pour l'efficacité énergétique automobile : Dynamic optimization in multi-states systems for automobile energy efficiency. [Doctoral Dissertation]. Paris, ENMP; 2015. Available from: http://www.theses.fr/2015ENMP0024
22.
Koné, Mamadou Ibrahima.
Contrôle optimal et calcul des variations en présence de retard sur l'état : Optimal control and calculus of variations with delay in state space.
Degree: Docteur es, Mathématiques appliquées, 2016, Paris 1
URL: http://www.theses.fr/2016PA01E063
► L'objectif de cette thèse est de contribuer à l'optimisation de problèmes dynamiques en présence de retard. Le point de vue qui nous intéressera est celui…
(more)
▼ L'objectif de cette thèse est de contribuer à l'optimisation de problèmes dynamiques en présence de retard. Le point de vue qui nous intéressera est celui de Pontryagin qui dans son ouvrage publié en 1962 a donné les conditions nécessaires d'existence de solutions pour ce type de problème. Warga dans son ouvrage publié en 1972 a fait un catalogue des solutions possible, Li et al. ont étudié le cas de contrôle périodique. Notre méthode de démonstration est directement inspirée de la démonstration de P. Michel du cas des systèmes gouvernés par des équations différentielles ordinaires. La principale difficulté pour cette approche est l'utilisation de la résolvante de l'équation différentielle fonctionnelle linéarisée de l'équation différentielle fonctionnelle d'évolution qui gouverne le système. Nous traitons aussi de condition d'Euler-Lagrange dans le cadre d'un problème de calcul variationnel avec retard.
In this thesis, we have attempted to contribute to the optimization of dynamical problems with delay in state space. We are specifically interested in the viewpoint of Pontryagin who outlined in his book published in 1962 the necessary conditions required for solving such problems. In his work published in 1972, Warga catalogued the possible solutions. Li and al. analyzed the case of periodic control. We will treat an optimal control problem governed by a Delay Functional Differential Equation. Our method is close to the one of P. Michel on dynamical system governed by Ordinary Differential Equations. The main problem ariving out in this approach is the use of the resolvent of the Delay Functional Differential Equation. We also consider with Euler-Lagrange condition in the framework of variational problems with delay.
Advisors/Committee Members: Blot, Joël (thesis director).
Subjects/Keywords: Résolvante; Équation différentielle fonctionnelle linéarisée; Contrôle optimal; Principe de Pontryagin; Équation différentielle fonctionnelle; Calcul des variations; Condition d'Euler-Lagrange; Théorème de représentation de Riesz; Resolvent; Linear delay functional differential equation; Optimal control; Pontryagin principle; Functional differential equation; Calculus of variation; Euler-Lagrange condition; Riesz representation theorem; 515
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Koné, M. I. (2016). Contrôle optimal et calcul des variations en présence de retard sur l'état : Optimal control and calculus of variations with delay in state space. (Doctoral Dissertation). Paris 1. Retrieved from http://www.theses.fr/2016PA01E063
Chicago Manual of Style (16th Edition):
Koné, Mamadou Ibrahima. “Contrôle optimal et calcul des variations en présence de retard sur l'état : Optimal control and calculus of variations with delay in state space.” 2016. Doctoral Dissertation, Paris 1. Accessed February 28, 2021.
http://www.theses.fr/2016PA01E063.
MLA Handbook (7th Edition):
Koné, Mamadou Ibrahima. “Contrôle optimal et calcul des variations en présence de retard sur l'état : Optimal control and calculus of variations with delay in state space.” 2016. Web. 28 Feb 2021.
Vancouver:
Koné MI. Contrôle optimal et calcul des variations en présence de retard sur l'état : Optimal control and calculus of variations with delay in state space. [Internet] [Doctoral dissertation]. Paris 1; 2016. [cited 2021 Feb 28].
Available from: http://www.theses.fr/2016PA01E063.
Council of Science Editors:
Koné MI. Contrôle optimal et calcul des variations en présence de retard sur l'état : Optimal control and calculus of variations with delay in state space. [Doctoral Dissertation]. Paris 1; 2016. Available from: http://www.theses.fr/2016PA01E063

Universiteit Utrecht
23.
Jong, J.W. de.
The optimal power distribution for cycling a time trial.
Degree: 2015, Universiteit Utrecht
URL: http://dspace.library.uu.nl:8080/handle/1874/323480
► In this thesis a problem of determining the optimal pacing strategy to minimize travel time is considered. The problem is restricted to a straight race…
(more)
▼ In this thesis a problem of determining the optimal pacing strategy to minimize travel time is considered. The problem is restricted to a straight race track with constant slope and rolling resistance, and no headwind. It is expressed as an optimal control problem that can be solved using
Pontryagin'
s Maximum Principle.
The control variable is the cyclist'
s power, which is modelled according to a hyperbolic power-time relationship, where a
maximum power level is assumed. The Hamiltonian is linear with respect to this control variable. The minimum time problem is redefined as a
maximum excursion problem, which is related to Goddard’
s problem of a rocket'
s ascent through the atmosphere.
It turns out that the optimal pacing problem is a singular control problem. Such problems are difficult to solve, both numerically and analytically, and they only occur sporadically in control theory. It is proven that the singular control only accurs during a single interval; optimal pacing starts with
maximum power and decays through a singular control to minimum power. The singular arc may be degenerate; a bang-bang control might be optimal, depending on the length of the race track and the amount of available energy. The solution of the pacing problem has been obtained partly numerical and partly analytical. It applies to a straight course without bends, but it can be extended to an arbitrary course by dividing it into straight segments between bends and optimize over all distributions of energy over the segments.
Advisors/Committee Members: Dajani, K., Fokkink, R., Olsder, G.J., Frank, J.E..
Subjects/Keywords: Optimal Control Theory; Pontryagin's maximum principle; pacing strategy; minimum time problem
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Jong, J. W. d. (2015). The optimal power distribution for cycling a time trial. (Masters Thesis). Universiteit Utrecht. Retrieved from http://dspace.library.uu.nl:8080/handle/1874/323480
Chicago Manual of Style (16th Edition):
Jong, J W de. “The optimal power distribution for cycling a time trial.” 2015. Masters Thesis, Universiteit Utrecht. Accessed February 28, 2021.
http://dspace.library.uu.nl:8080/handle/1874/323480.
MLA Handbook (7th Edition):
Jong, J W de. “The optimal power distribution for cycling a time trial.” 2015. Web. 28 Feb 2021.
Vancouver:
Jong JWd. The optimal power distribution for cycling a time trial. [Internet] [Masters thesis]. Universiteit Utrecht; 2015. [cited 2021 Feb 28].
Available from: http://dspace.library.uu.nl:8080/handle/1874/323480.
Council of Science Editors:
Jong JWd. The optimal power distribution for cycling a time trial. [Masters Thesis]. Universiteit Utrecht; 2015. Available from: http://dspace.library.uu.nl:8080/handle/1874/323480

Uppsala University
24.
Kieri, Emil.
Accuracy aspects of the reaction-diffusion master equation on unstructured meshes.
Degree: Division of Scientific Computing, 2011, Uppsala University
URL: http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-145978
► The reaction-diffusion master equation (RDME) is a stochastic model for spatially heterogeneous chemical systems. Stochastic models have proved to be useful for problems from…
(more)
▼ The reaction-diffusion master equation (RDME) is a stochastic model for spatially heterogeneous chemical systems. Stochastic models have proved to be useful for problems from molecular biology since copy numbers of participating chemical species often are small, which gives a stochastic behaviour. The RDME is a discrete space model, in contrast to spatially continuous models based on Brownian motion. In this thesis two accuracy issues of the RDME on unstructured meshes are studied. The first concerns the rates of diffusion events. Errors due to previously used rates are evaluated, and a second order accurate finite volume method, not previously used in this context, is implemented. The new discretisation improves the accuracy considerably, but unfortunately it puts constraints on the mesh, limiting its current usability. The second issue concerns the rates of bimolecular reactions. Using the macroscopic reaction coefficients these rates become too low when the spatial resolution is high. Recently, two methods to overcome this problem by calculating mesoscopic reaction rates for Cartesian meshes have been proposed. The methods are compared and evaluated, and are found to work remarkably well. Their possible extension to unstructured meshes is discussed.
Subjects/Keywords: master equation; Gillespie algorithm; unstructured mesh; diffusion; maximum principle
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Kieri, E. (2011). Accuracy aspects of the reaction-diffusion master equation on unstructured meshes. (Thesis). Uppsala University. Retrieved from http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-145978
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Kieri, Emil. “Accuracy aspects of the reaction-diffusion master equation on unstructured meshes.” 2011. Thesis, Uppsala University. Accessed February 28, 2021.
http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-145978.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Kieri, Emil. “Accuracy aspects of the reaction-diffusion master equation on unstructured meshes.” 2011. Web. 28 Feb 2021.
Vancouver:
Kieri E. Accuracy aspects of the reaction-diffusion master equation on unstructured meshes. [Internet] [Thesis]. Uppsala University; 2011. [cited 2021 Feb 28].
Available from: http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-145978.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Kieri E. Accuracy aspects of the reaction-diffusion master equation on unstructured meshes. [Thesis]. Uppsala University; 2011. Available from: http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-145978
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Delft University of Technology
25.
De Jong, J.W. (author).
The optimal power distribution for cycling a time trial.
Degree: 2015, Delft University of Technology
URL: http://resolver.tudelft.nl/uuid:52e70049-3902-4ac5-8588-38383335c1bc
► In this thesis a problem of determining the optimal pacing strategy to minimize travel time is considered. The problem is restricted to a straight race…
(more)
▼ In this thesis a problem of determining the optimal pacing strategy to minimize travel time is considered. The problem is restricted to a straight race track with constant slope and rolling resistance, and no headwind. It is expressed as an optimal control problem that can be solved using Pontryagin's Maximum Principle. The control variable is the cyclist's power, which is modelled according to a hyperbolic power-time relationship, where a maximum power level is assumed. The Hamiltonian is linear with respect to this control variable. The minimum time problem is redefined as a maximum excursion problem, which is related to Goddard’s problem of a rocket's ascent through the atmosphere. It turns out that the optimal pacing problem is a singular control problem. Such problems are difficult to solve, both numerically and analytically, and they only occur sporadically in control theory. It is proven that the singular control only accurs during a single interval; optimal pacing starts with maximum power and decays through a singular control to minimum power. The singular arc may be degenerate; a bang-bang control might be optimal, depending on the length of the race track and the amount of available energy. The solution of the pacing problem has been obtained partly numerical and partly analytical. It applies to a straight course without bends, but it can be extended to an arbitrary course by dividing it into straight segments between bends and optimize over all distributions of energy over the segments.
Applied mathematics
Electrical Engineering, Mathematics and Computer Science
Advisors/Committee Members: Fokkink, R. (mentor), Olsder, G.J. (mentor).
Subjects/Keywords: Pontryagin's maximum principle; Optimal Control Theory; Minimum time problem; pacing strategy
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
De Jong, J. W. (. (2015). The optimal power distribution for cycling a time trial. (Masters Thesis). Delft University of Technology. Retrieved from http://resolver.tudelft.nl/uuid:52e70049-3902-4ac5-8588-38383335c1bc
Chicago Manual of Style (16th Edition):
De Jong, J W (author). “The optimal power distribution for cycling a time trial.” 2015. Masters Thesis, Delft University of Technology. Accessed February 28, 2021.
http://resolver.tudelft.nl/uuid:52e70049-3902-4ac5-8588-38383335c1bc.
MLA Handbook (7th Edition):
De Jong, J W (author). “The optimal power distribution for cycling a time trial.” 2015. Web. 28 Feb 2021.
Vancouver:
De Jong JW(. The optimal power distribution for cycling a time trial. [Internet] [Masters thesis]. Delft University of Technology; 2015. [cited 2021 Feb 28].
Available from: http://resolver.tudelft.nl/uuid:52e70049-3902-4ac5-8588-38383335c1bc.
Council of Science Editors:
De Jong JW(. The optimal power distribution for cycling a time trial. [Masters Thesis]. Delft University of Technology; 2015. Available from: http://resolver.tudelft.nl/uuid:52e70049-3902-4ac5-8588-38383335c1bc

University of Notre Dame
26.
Anthony Robert Strathman.
Application of Statistical Mechanical Methods to the
Modeling of Social Networks</h1>.
Degree: Physics, 2013, University of Notre Dame
URL: https://curate.nd.edu/show/4q77fq99502
► With the recent availability of large-scale social data sets, social networks have become open to quantitative analysis via the methods of statistical physics. We…
(more)
▼ With the recent availability of large-scale
social data sets, social networks have become open to quantitative
analysis via the methods of statistical physics. We examine the
statistical properties of a real large-scale social network,
generated from cellular phone call-trace logs. We find this
network, like many other social networks to be assortative (r=0.31)
and clustered (i.e., strongly transitive, C=0.21). We measure
fluctuation scaling to identify the presence of internal structure
in the network and find that structural inhomogeneity effectively
disappears at the scale of a few hundred nodes, though there is no
sharp cutoff. We introduce an agent-based model of social behavior,
designed to model the formation and dissolution of social ties. The
model is a modified Metropolis algorithm containing agents
operating under the basic sociological constraints of reciprocity,
communication need and transitivity. The model introduces the
concept of a social temperature. We go on to show that this simple
model reproduces the global statistical network features (incl.
assortativity, connected fraction, mean degree, clustering, and
mean shortest path length) of the real network data and undergoes
two phase transitions, one being from a “gas” to a “liquid” state
and the second from a liquid to a glassy state as function of this
social temperature.
Advisors/Committee Members: Dinshaw Balsara, Committee Member, Nitesh Chawla, Committee Member, Zoltan Toroczkai, Committee Chair, Kathie Newman, Committee Member.
Subjects/Keywords: reciprocity; statistical mechanics; social network; agent-based model; maximum entropy principle
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APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Strathman, A. R. (2013). Application of Statistical Mechanical Methods to the
Modeling of Social Networks</h1>. (Thesis). University of Notre Dame. Retrieved from https://curate.nd.edu/show/4q77fq99502
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Strathman, Anthony Robert. “Application of Statistical Mechanical Methods to the
Modeling of Social Networks</h1>.” 2013. Thesis, University of Notre Dame. Accessed February 28, 2021.
https://curate.nd.edu/show/4q77fq99502.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Strathman, Anthony Robert. “Application of Statistical Mechanical Methods to the
Modeling of Social Networks</h1>.” 2013. Web. 28 Feb 2021.
Vancouver:
Strathman AR. Application of Statistical Mechanical Methods to the
Modeling of Social Networks</h1>. [Internet] [Thesis]. University of Notre Dame; 2013. [cited 2021 Feb 28].
Available from: https://curate.nd.edu/show/4q77fq99502.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Strathman AR. Application of Statistical Mechanical Methods to the
Modeling of Social Networks</h1>. [Thesis]. University of Notre Dame; 2013. Available from: https://curate.nd.edu/show/4q77fq99502
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Bowling Green State University
27.
Islam, Mohammad Mafijul.
Dose-Response Analysis for Time-Dependent Efficacy.
Degree: PhD, Statistics, 2016, Bowling Green State University
URL: http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1467295354
► In dose-response studies, a critical research issue is to estimate the minimum effective dose (MED) and the Maximum Tolerated dose (MTD) of a drug. The…
(more)
▼ In dose-response studies, a critical research issue is
to estimate the minimum effective dose (MED) and the
Maximum
Tolerated dose (MTD) of a drug. The problems of identifying the
minimum effective dose and the
maximum tolerated dose of a drug
have been studied by many researchers when the endpoints are
continuous and binary, and are measured at a particular time point.
However, in recent dose-response related research, the responses
are measured over a sequence of time points. In this situation, the
previously developed procedures for the continuous and binary
outcomes at a single time point are not applicable for the
estimations of MED and the MTD of a drug when the longitudinal
effect of the drug is taken into consideration.In this
dissertation, we developed statistical procedures to find the MED
and the MTD of a drug when the responses are observed over a period
of time at different dose levels. Since finding the time-dependent
MED and MTD of a drug is a multiple comparison problem, we need to
control the family-wise error rate, the probability of incorrectly
declaring any ineffective doses of a drug as effective for MED (or
any unsafe doses as safe for MTD) at a pre-specified level of
significance (alpha) for the adjustment of multiplicity.Two types
of statistical procedures are developed to address the problem of
time dependent MED (and MTD) in this dissertation. One type is with
multiplicity adjustment such as the Bonferroni Correction method
for MED (and for MTD, respectively). And another is without
multiplicity adjustment such as the partitioning method for MTD
(and for MTD, respectively).In our study, we assumed that both the
efficacy and the toxicity of a drug increase with the dose level
over time. The consequence of this assumption is that if a dose is
not declared as efficacious, then we stop checking the lower doses
when evaluating efficacy (or if a dose is not declared as safe, we
do not need to test the higher doses for toxicity investigation).
In this dissertation, we used the partitioning
principle to propose
confidence-set based procedures for estimating the minimum
effective dose (MED) and the
maximum tolerated dose(MTD) of a drug
when the responses are measured over time at different dose levels.
The proposed procedures are compared by simulation studies, which
cast new lights on the power performance of different innovative
procedures proposed in this dissertation. We proved that the
simultaneous confidence regions have the correct coverage
probability 1 - alpha, and applied these procedures to analyze two
real data sets. One is for the beetle killing effect on a plant
based insecticide (Pyrethrurm); and another is for the hind-limb
grip strength of rats under different levels of toxicity over time.
The new confidence procedures proposed in this dissertation reveal
new insights on the efficacy for insecticide over time, and
neurotoxic effects on nervous system of rats over time. They also
enhance the literature on statistical methodologies for time
dependent dose-response research.
Advisors/Committee Members: Chen, John (Advisor).
Subjects/Keywords: Statistics; Minimum Effective Dose; Maximum Tolerated Dose; Partitioning Principle; Bonferroni Correction
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Islam, M. M. (2016). Dose-Response Analysis for Time-Dependent Efficacy. (Doctoral Dissertation). Bowling Green State University. Retrieved from http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1467295354
Chicago Manual of Style (16th Edition):
Islam, Mohammad Mafijul. “Dose-Response Analysis for Time-Dependent Efficacy.” 2016. Doctoral Dissertation, Bowling Green State University. Accessed February 28, 2021.
http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1467295354.
MLA Handbook (7th Edition):
Islam, Mohammad Mafijul. “Dose-Response Analysis for Time-Dependent Efficacy.” 2016. Web. 28 Feb 2021.
Vancouver:
Islam MM. Dose-Response Analysis for Time-Dependent Efficacy. [Internet] [Doctoral dissertation]. Bowling Green State University; 2016. [cited 2021 Feb 28].
Available from: http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1467295354.
Council of Science Editors:
Islam MM. Dose-Response Analysis for Time-Dependent Efficacy. [Doctoral Dissertation]. Bowling Green State University; 2016. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1467295354

Brno University of Technology
28.
Felixová, Lucie.
Matematické metody teorie optimálního řízení a jejich užití: Mathematical methods of optimal control theory and their applications.
Degree: 2018, Brno University of Technology
URL: http://hdl.handle.net/11012/21073
► This master's thesis deals with the continuous optimal control problem, which is one of the most important applications of the dierential equations theory. The aim…
(more)
▼ This master'
s thesis deals with the continuous optimal control problem, which is one of the most important applications of the dierential equations theory. The aim of this work was to study the mathematical theory of the optimal control and the signicant part was to show how
Pontryagin'
s maximum principle and Bellman'
s principle of optimality can be used in the particular optimal control problems. The emphasis was mainly put on the time and energy ecient electrically powered train control problem, where the quadratic resistant function has been involved.
Advisors/Committee Members: Čermák, Jan (advisor), Tomášek, Petr (referee).
Subjects/Keywords: Pontrjaginův princip maxima; Bellmanův princip optimality; optimální řízení; Pontryagin's maximum principle; Bellman's principle of optimality; optimal control
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Felixová, L. (2018). Matematické metody teorie optimálního řízení a jejich užití: Mathematical methods of optimal control theory and their applications. (Thesis). Brno University of Technology. Retrieved from http://hdl.handle.net/11012/21073
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Felixová, Lucie. “Matematické metody teorie optimálního řízení a jejich užití: Mathematical methods of optimal control theory and their applications.” 2018. Thesis, Brno University of Technology. Accessed February 28, 2021.
http://hdl.handle.net/11012/21073.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Felixová, Lucie. “Matematické metody teorie optimálního řízení a jejich užití: Mathematical methods of optimal control theory and their applications.” 2018. Web. 28 Feb 2021.
Vancouver:
Felixová L. Matematické metody teorie optimálního řízení a jejich užití: Mathematical methods of optimal control theory and their applications. [Internet] [Thesis]. Brno University of Technology; 2018. [cited 2021 Feb 28].
Available from: http://hdl.handle.net/11012/21073.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Felixová L. Matematické metody teorie optimálního řízení a jejich užití: Mathematical methods of optimal control theory and their applications. [Thesis]. Brno University of Technology; 2018. Available from: http://hdl.handle.net/11012/21073
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
29.
Coco, Marco.
Monte Carlo study of charge and phonon transport in graphene.
Degree: 2017, Università degli Studi di Catania
URL: http://hdl.handle.net/10761/3811
► In this thesis, we investigate charge transport in graphene. Graphene is one of the most important new materials with a wide range of properties, rarely…
(more)
▼ In this thesis, we investigate charge transport in graphene. Graphene is one of the most important new materials with a wide range of properties, rarely together in the same material, and it is the ideal candidate for future electronic devices. The dynamics of electrons in the conduction band is analyzed, by considering values of Fermi levels high enough to neglect the dynamics in the valence band. This is equivalent to a n-type doping for traditional semiconductors.
Degeneracy effects are very important in graphene and then it becomes mandatory to consistently include the Pauli exclusion principle.
We develop a new Direct Simulation Monte Carlo (DSMC) procedure to solve the Boltzmann transport equation, that properly takes into account the Pauli principle. For a cross-validation of the results, we also solve the Boltzmann equation in a deterministic way by using the Discontinuous Galerkin method. The agreement of the results is excellent. A comparison of the new DSMC results with those obtained by means of well established hydrodynamical models are presented as well, and again the agreement is very good.
This new approach is applied to study the transport properties in suspended monolayer graphene and then in a layer of graphene on different substrates, obtaining the expected results as the degradation of mobilities.
Regarding phonon transport, we investigate the thermal effects in a suspended monolayer graphene due to the charge flow under an applied electric field. A complete model is considered, with all the phonon branches, both in-plane and out of plane ones. Moreover, we describe the phonon populations without any approximation of the distribution with an equivalent Bose-Einstein one. The distribution is built by means of the intermediate results arising from the new DSMC, by counting the number of the emission and absorption processes due to the interaction between electrons and phonons. The phonon-phonon interaction is treated in a standard way with a BGK approximation.
We are able to determine the increase of the temperature due to the charge flow and to predict its raise for any values of electric fields and Fermi energies. Moreover, it is shown that the inclusion of a complete phonon model leads to a lower heating effect with respect to other simplified models.
Subjects/Keywords: Area 01 - Scienze matematiche e informatiche; Graphene, Pauli's exclusion principle, Monte Carlo method, Discontinuous Galerkin method, Heating effects, Maximum Entropy Principle
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Coco, M. (2017). Monte Carlo study of charge and phonon transport in graphene. (Thesis). Università degli Studi di Catania. Retrieved from http://hdl.handle.net/10761/3811
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Coco, Marco. “Monte Carlo study of charge and phonon transport in graphene.” 2017. Thesis, Università degli Studi di Catania. Accessed February 28, 2021.
http://hdl.handle.net/10761/3811.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Coco, Marco. “Monte Carlo study of charge and phonon transport in graphene.” 2017. Web. 28 Feb 2021.
Vancouver:
Coco M. Monte Carlo study of charge and phonon transport in graphene. [Internet] [Thesis]. Università degli Studi di Catania; 2017. [cited 2021 Feb 28].
Available from: http://hdl.handle.net/10761/3811.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Coco M. Monte Carlo study of charge and phonon transport in graphene. [Thesis]. Università degli Studi di Catania; 2017. Available from: http://hdl.handle.net/10761/3811
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Brno University of Technology
30.
Berkessa, Zewude Alemayehu.
Problém energeticky optimální jízdy vlaku: The problem of energy-efficient train control.
Degree: 2019, Brno University of Technology
URL: http://hdl.handle.net/11012/175495
► The Diploma thesis deals with the problem of energy-efficient train control. It presents the basic survey of mathematical models used in the problem of energy-efficient…
(more)
▼ The Diploma thesis deals with the problem of energy-efficient train control. It presents the basic survey of mathematical models used in the problem of energy-efficient train control, analysis of optimal driving regimes, determining optimal switching times between optimal driving regimes and timetabling of the train. The mathematical formulation of the problem is done using Newton'
s second law of motion and other known physical laws. To analyse optimal driving regimes and determine the switching times between optimal driving regimes, we apply tools of optimal control theory, particularly
Pontryagin'
s Maximum Principle. The timetabling of the train is discussed from the numerical solution of the settled non-linear programming problem.
Advisors/Committee Members: Čermák, Jan (advisor), Kisela, Tomáš (referee).
Subjects/Keywords: Energy-efficient train control; Optimal control; Optimal driving regimes; Switching times; Pontryagin's Maximum Principle; Energy-efficient train control; Optimal control; Optimal driving regimes; Switching times; Pontryagin's Maximum Principle
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Berkessa, Z. A. (2019). Problém energeticky optimální jízdy vlaku: The problem of energy-efficient train control. (Thesis). Brno University of Technology. Retrieved from http://hdl.handle.net/11012/175495
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Berkessa, Zewude Alemayehu. “Problém energeticky optimální jízdy vlaku: The problem of energy-efficient train control.” 2019. Thesis, Brno University of Technology. Accessed February 28, 2021.
http://hdl.handle.net/11012/175495.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Berkessa, Zewude Alemayehu. “Problém energeticky optimální jízdy vlaku: The problem of energy-efficient train control.” 2019. Web. 28 Feb 2021.
Vancouver:
Berkessa ZA. Problém energeticky optimální jízdy vlaku: The problem of energy-efficient train control. [Internet] [Thesis]. Brno University of Technology; 2019. [cited 2021 Feb 28].
Available from: http://hdl.handle.net/11012/175495.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Berkessa ZA. Problém energeticky optimální jízdy vlaku: The problem of energy-efficient train control. [Thesis]. Brno University of Technology; 2019. Available from: http://hdl.handle.net/11012/175495
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
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