subject:(Dissipativity)

University of Manchester

1. Karalis, Paschalis. STABILITY AND STABILISATION OF SWITCHING AND HYBRID DISSIPATIVE SYSTEMS.

Degree: 2018, University of Manchester

URL: http://www.manchester.ac.uk/escholar/uk-ac-man-scw:316883

► A method is proposed to infer stability properties for non-linear switching under continuous state feedback. Continuous-time systems which are dissipative in the multiple storage function… (more)

▼ A method is proposed to infer stability properties for non-linear switching under continuous state feedback. Continuous-time systems which are dissipative in the multiple storage function sense are considered. A partition of the state space, induced by the cross-supply rates and the feedback function, is used to derive a restriction on switching. Then, conditions are proposed, under which, systems controlled by the feedback function and switching according to the rule are stable. In particular, Lyapunov and asymptotic stability are proved, both in a local and in a global context. Further, it is shown that the approach can be extended when one uses multiple controllers, and, therefore, is able to construct multiple partitions; conditions for this case are also presented. Finally, it is shown that, for the switching families that satisfy the switching rule posited by the results, one is able to find elements (that is, stabilising switching laws for the system) which are non-Zeno. Additional rule-sets that allow this are provided. It is argued that the conditions proposed here are easier to verify and apply, and that they offer additional flexibility when compared to those proposed by other approaches in the literature. The same infrastructure is used in the study of hybrid systems. For a general class of non-linear hybrid systems, a new property is proposed, that retains some of the properties of dissipativity, but it differs from it, crucially in the fact that it is not purely input-output. For systems having this property, it is shown that the partition used in the switching case can also be used. This, along with a set of conditions allows for the characterisation of the system behaviour in two scenaria. First, when the continuous behaviours and the jumping scheme act co-operatively, leading the system to lower energy levels (from the dissipativity point of view). Second, when the continuous behaviours are allowed to increase the stored energy, but the jumping is able to 6 compensate this increase. In the first case, it is shown that the equilibrium point under study is stable; in the second, it is shown that the system exhibits a type of attractivity, and, under additional conditions, it is asymptotically stable. Besides stability, a collection of stabilisation results are given for the case of dissipative switching systems. It is shown that one may design state feedback functions (controllers) with the objective that they satisfy the conditions of the stability theorems in this work. Then, systems under the designed controllers are shown to be stable, provided that the switching adheres to a specific switching rule. This problem is approached using a variety of tools taken from analysis, multi-valued functions and the space of non-switching stabilisation. In addition to the main results, an extensive overview of the literature in the area of switching and hybrid systems is offered, with emphasis on the topics of stability and dissipativity. Finally, a collection of numerical examples are given, validating the… Advisors/Committee Members: SAKELLARIOU, RIZOS R, Navarro Lopez, Eva, Sakellariou, Rizos.

Subjects/Keywords: Hybrid Systems; Switching Systems; Dissipativity; Stability; Feedback

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APA (6^th Edition):

Karalis, P. (2018). STABILITY AND STABILISATION OF SWITCHING AND HYBRID DISSIPATIVE SYSTEMS. (Doctoral Dissertation). University of Manchester. Retrieved from http://www.manchester.ac.uk/escholar/uk-ac-man-scw:316883

Chicago Manual of Style (16^th Edition):

Karalis, Paschalis. “STABILITY AND STABILISATION OF SWITCHING AND HYBRID DISSIPATIVE SYSTEMS.” 2018. Doctoral Dissertation, University of Manchester. Accessed April 19, 2021. http://www.manchester.ac.uk/escholar/uk-ac-man-scw:316883.

MLA Handbook (7^th Edition):

Karalis, Paschalis. “STABILITY AND STABILISATION OF SWITCHING AND HYBRID DISSIPATIVE SYSTEMS.” 2018. Web. 19 Apr 2021.

Vancouver:

Karalis P. STABILITY AND STABILISATION OF SWITCHING AND HYBRID DISSIPATIVE SYSTEMS. [Internet] [Doctoral dissertation]. University of Manchester; 2018. [cited 2021 Apr 19]. Available from: http://www.manchester.ac.uk/escholar/uk-ac-man-scw:316883.

Council of Science Editors:

Karalis P. STABILITY AND STABILISATION OF SWITCHING AND HYBRID DISSIPATIVE SYSTEMS. [Doctoral Dissertation]. University of Manchester; 2018. Available from: http://www.manchester.ac.uk/escholar/uk-ac-man-scw:316883

University of New South Wales

2. Yan, Yitao. Distributed Control of Interconnected Systems in the Behavioural Framework.

Degree: Chemical Engineering, 2020, University of New South Wales

URL: http://handle.unsw.edu.au/1959.4/67153

► The rapid development of technology has made the design, monitoring and data storage of large-scale, complex interconnected systems possible. These efficient and economical interconnected systems… (more)

▼ The rapid development of technology has made the design, monitoring and data storage of large-scale, complex interconnected systems possible. These efficient and economical interconnected systems come with a price: the complex dynamics due to convoluted interconnections make the effective control of such a system incredibly difficult. The behaviour of the subsystems in a network is vastly different than that when it is not, and the inherent uncertainties due to modelling errors may be amplified as a result of the strong interactions. Furthermore, the ability to collect and process large amount of data leads to the paradigm shift from model-centric description to data-centric description or hybrid model/data description of a system. These challenges necessitate the need for a unified foundation for the control of complex systems that is able to admit descriptions of systems not only limited to the conventional differential/difference models.Motivated by these challenges, this thesis aims to develop such a framework for the distributed control of an interconnected system using the behavioural systems theory. As a theory that focuses on analysing the dynamics of the external variables and places the trajectories admissible within the system as the central role of describing a dynamical system, it is perfect for the construction of a platform that unifies various classes of systems and is effective in the analysis of interconnections. The framework is eventually set up as a completely representation-free structure, allowing for free choice of representations for the systems according to the specific needs. Algorithms for several representation structures are also provided.For the case where the subsystems are represented as linear time-invariant differential systems while the global requirements are specified as H-infinity type conditions, the control design follows a two-step algorithm. Firstly, the behaviours of the subsystems, the (to-be-designed) controllers as well as the global requirements are all represented as dissipative dynamical systems with quadratic supply rates, from which the (to-be-determined) controller supply rates can be found. Secondly, parametrisations of the supply rates are carried out to search for linear time-invariant representations for the controllers. Algorithms for subsystems with various types of parametric uncertainties are given to add robustness to the controllers. The resulting framework deals with interconnections, uncertainties in the subsystems and disturbance attenuation simultaneously.For the general framework, neither the subsystems nor the controllers have prescribed representations. The behaviours of the subsystems are denoted by their respective sets of trajectories and interconnections are interpreted entirely as variable sharing instead of signal flows. Furthermore, the network of an interconnected system is also defined as a dynamical system with its own behaviour, leading to a generic, scalable and flexible representation of the interconnected behaviour. From this… Advisors/Committee Members: Bao, Jie, Chemical Engineering, Faculty of Engineering, UNSW.

Subjects/Keywords: Distributed Control; Behavioural Systems Theory; Dissipativity; Robust Control

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APA (6^th Edition):

Yan, Y. (2020). Distributed Control of Interconnected Systems in the Behavioural Framework. (Doctoral Dissertation). University of New South Wales. Retrieved from http://handle.unsw.edu.au/1959.4/67153

Chicago Manual of Style (16^th Edition):

Yan, Yitao. “Distributed Control of Interconnected Systems in the Behavioural Framework.” 2020. Doctoral Dissertation, University of New South Wales. Accessed April 19, 2021. http://handle.unsw.edu.au/1959.4/67153.

MLA Handbook (7^th Edition):

Yan, Yitao. “Distributed Control of Interconnected Systems in the Behavioural Framework.” 2020. Web. 19 Apr 2021.

Vancouver:

Yan Y. Distributed Control of Interconnected Systems in the Behavioural Framework. [Internet] [Doctoral dissertation]. University of New South Wales; 2020. [cited 2021 Apr 19]. Available from: http://handle.unsw.edu.au/1959.4/67153.

Council of Science Editors:

Yan Y. Distributed Control of Interconnected Systems in the Behavioural Framework. [Doctoral Dissertation]. University of New South Wales; 2020. Available from: http://handle.unsw.edu.au/1959.4/67153

University of Notre Dame

3. Meng Xia. Analysis and Design of Cyber-physical Systems Using Passivity and Passivation</h1>.

Degree: Electrical Engineering, 2015, University of Notre Dame

URL: https://curate.nd.edu/show/n296ww74n03

► This dissertation studies the analysis and design of Cyber-physical Systems (CPS) using passivity and passivation theory, concentrating on applications in automotive systems. Passivity and… (more)

▼ This dissertation studies the analysis and design of Cyber-physical Systems (CPS) using passivity and passivation theory, concentrating on applications in automotive systems. Passivity and dissipativity have shown great promise in the design of CPS due to many properties they can provide, such as stability, robustness and compositionality. The main contributions of this dissertation are summarized as follows. First, we show that passivity and dissipativity properties of a system can be implied from its approximate models given that the model is ‘close’ to the system dynamics in a suitably defined sense. To illustrate, we consider approximation methods such as linearization, model reduction, discretization and quantization. Second, to apply passivity-based control, we use a passivation method that can guarantee desired passivity levels for the system. The passivation method allows the use of a non-passive controller to stabilize or passivate another plant. In particular, the passivation method can be applied to systems with input-output delay, such as human operators. Third, when control algorithms are implemented in software, delays cannot be avoided. The passivation method can be applied in order to guarantee stability and optimize system performance in the presence of time delay. As an application, we study the passivation method in adaptive cruise control design for automotive systems. Finally, we consider a state estimation problem in CPS where multiple processes share the communication medium. We analytically calculate the performance expressions for time-triggered and event-triggered schemes under various contention resolution mechanisms. The result demonstrates that a simple time-triggered scheme may perform better than an event-triggered scheme when the effects of the communication strategies are explicitly considered. In summary, this dissertation focuses on the analysis and design of CPS using passivity and passivation theory, concentrating on systems with human controllers and automotive systems. Advisors/Committee Members: Peter Bauer, Committee Member, Hai Lin, Committee Member, Vijay Gupta, Committee Member, Panos Antsaklis, Committee Chair.

Subjects/Keywords: cyber-physical systems; passivity and dissipativity; passivation; networked control systems; automotive systems

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APA (6^th Edition):

Xia, M. (2015). Analysis and Design of Cyber-physical Systems Using Passivity and Passivation</h1>. (Thesis). University of Notre Dame. Retrieved from https://curate.nd.edu/show/n296ww74n03

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Xia, Meng. “Analysis and Design of Cyber-physical Systems Using Passivity and Passivation</h1>.” 2015. Thesis, University of Notre Dame. Accessed April 19, 2021. https://curate.nd.edu/show/n296ww74n03.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Xia, Meng. “Analysis and Design of Cyber-physical Systems Using Passivity and Passivation</h1>.” 2015. Web. 19 Apr 2021.

Vancouver:

Xia M. Analysis and Design of Cyber-physical Systems Using Passivity and Passivation</h1>. [Internet] [Thesis]. University of Notre Dame; 2015. [cited 2021 Apr 19]. Available from: https://curate.nd.edu/show/n296ww74n03.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Xia M. Analysis and Design of Cyber-physical Systems Using Passivity and Passivation</h1>. [Thesis]. University of Notre Dame; 2015. Available from: https://curate.nd.edu/show/n296ww74n03

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Notre Dame

4. Etika Agarwal. Compositional Control of Large-Scale Cyber-Physical Systems Using Hybrid Models and Dissipativity Theory</h1>.

Degree: Electrical Engineering, 2019, University of Notre Dame

URL: https://curate.nd.edu/show/np19377562z

► This dissertation presents novel results on the scalable control of cyber-physical systems (CPS) that comprise of many dynamically coupled subsystems interconnected to form a… (more)

▼ This dissertation presents novel results on the scalable control of cyber-physical systems (CPS) that comprise of many dynamically coupled subsystems interconnected to form a large-scale system. Modern-day infrastructure systems such as smart transportation, power grid and renewable energy, a fleet of industrial robots, and smart cities, are some examples of CPS, where the network of dynamical systems is capable of expansion, contraction, and reconfiguration. It is therefore essential to develop computationally efficient design tools to guarantee control performances of a dynamically growing network, without having to re-design the existing subsystems. Towards this goal, we begin by developing dissipativity based control designs for hybrid systems which act as basic building blocks for modeling CPS. Since dissipativity is closely related to stability, and, under mild conditions, invariant over specific interconnection structures, dissipativity based control designs offer the possibility of a framework scalable to large-scale networks. However, if there is a communication delay between the systems, then the feedback system may not be dissipative. We propose a linear transformation of the information exchanged between the hybrid systems to guarantee specific dissipativity properties of the feedback interconnection in the presence of unknown communication delays. If the hybrid systems are not already dissipative, we propose new techniques to design state and output feedback controllers guaranteeing the dissipativity of the closed loop system. We use these methods to establish the dissipativity of a network of dynamically coupled subsystems, and further reduce the communication overhead by designing distributed controllers. These distributed controllers use only the local information available from the subsystems and their neighbors to compute the control actions. The dissipativity based design methods discussed so far facilitate the compositionality of networks with feedback and parallel interconnection topologies where new subsystems with locally designed controllers can be connected to a dissipative networked system without disturbing the dissipativity of the network. In the concluding chapters of this dissertation, we propose a solution to the open problem of making the synthesis of distributed subsystem-level controllers compositional for networked systems with no restrictions on interconnection topology. Throughout this dissertation, we use the example of power networks modeled as CPS to demonstrate the applicability of our results. We show that the proposed control design approaches can guarantee the stability, robustness, and reliability of microgrids and their networks in presence of disturbances in power requirement, measurement loss, and changes in the scale and topology of the network. Advisors/Committee Members: Hai Lin, Committee Member, Vijay Gupta, Committee Member, Panos J. Antsaklis, Research Director, Bill Goodwine, Committee Member.

Subjects/Keywords: Passivity; Cyber-Physical Systems; Power Networks; Distributed Control; Microgrids; Compositional Control; Dissipativity; Switched Systems; Stability

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Agarwal, E. (2019). Compositional Control of Large-Scale Cyber-Physical Systems Using Hybrid Models and Dissipativity Theory</h1>. (Thesis). University of Notre Dame. Retrieved from https://curate.nd.edu/show/np19377562z

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Agarwal, Etika. “Compositional Control of Large-Scale Cyber-Physical Systems Using Hybrid Models and Dissipativity Theory</h1>.” 2019. Thesis, University of Notre Dame. Accessed April 19, 2021. https://curate.nd.edu/show/np19377562z.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Agarwal, Etika. “Compositional Control of Large-Scale Cyber-Physical Systems Using Hybrid Models and Dissipativity Theory</h1>.” 2019. Web. 19 Apr 2021.

Vancouver:

Agarwal E. Compositional Control of Large-Scale Cyber-Physical Systems Using Hybrid Models and Dissipativity Theory</h1>. [Internet] [Thesis]. University of Notre Dame; 2019. [cited 2021 Apr 19]. Available from: https://curate.nd.edu/show/np19377562z.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Agarwal E. Compositional Control of Large-Scale Cyber-Physical Systems Using Hybrid Models and Dissipativity Theory</h1>. [Thesis]. University of Notre Dame; 2019. Available from: https://curate.nd.edu/show/np19377562z

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Oklahoma State University

5. Nguyen, Nam Hoai. Stability Analysis of Recurrent Neural Networks Using Dissipativity.

Degree: Electrical Engineering Technology, 2012, Oklahoma State University

URL: http://hdl.handle.net/11244/7760

► The purpose of this work is to describe how dissipativity theory can be used for the stability analysis of discrete-time recurrent neural networks and to… (more)

Subjects/Keywords: discrete-time systems; dissipativity; model reference control systems; recurrent neural networks; stability analy

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Nguyen, N. H. (2012). Stability Analysis of Recurrent Neural Networks Using Dissipativity. (Thesis). Oklahoma State University. Retrieved from http://hdl.handle.net/11244/7760

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Nguyen, Nam Hoai. “Stability Analysis of Recurrent Neural Networks Using Dissipativity.” 2012. Thesis, Oklahoma State University. Accessed April 19, 2021. http://hdl.handle.net/11244/7760.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Nguyen, Nam Hoai. “Stability Analysis of Recurrent Neural Networks Using Dissipativity.” 2012. Web. 19 Apr 2021.

Vancouver:

Nguyen NH. Stability Analysis of Recurrent Neural Networks Using Dissipativity. [Internet] [Thesis]. Oklahoma State University; 2012. [cited 2021 Apr 19]. Available from: http://hdl.handle.net/11244/7760.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Nguyen NH. Stability Analysis of Recurrent Neural Networks Using Dissipativity. [Thesis]. Oklahoma State University; 2012. Available from: http://hdl.handle.net/11244/7760

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

6. Cetin, Gokhan. Resilient Controller Design and Resource Allocation for Networked Control Systems.

Degree: 2019, University of Nevada – Reno

URL: http://hdl.handle.net/11714/5995

► Networked control systems (NCS) include a communication network in the control loop. This results in network delay and packet dropping, and makes the system vulnerable… (more)

▼ Networked control systems (NCS) include a communication network in the control loop. This results in network delay and packet dropping, and makes the system vulnerable to cyberattacks. The delays and packet dropping can become unacceptable if the quality of service (QoS) of the network deteriorates. This dissertation proposes a resilient controller design and a delay compensation algorithm to eliminate the adverse effects of time delay and cyber-attacks on the controller and observer in NCS. To maintain, acceptable QoS, three different bandwidth allocation strategies are proposed. The contributions of this dissertation are as follows, 1) Assuming that the cyberattack can be modeled as bounded perturbations on the controller and observer gains, a resilient observer and controller design using linear matrix inequality (LMI) is proposed to mitigate their effect. In addition, a time delay compensation algorithm is presented to eliminate the adverse effect of random time delays in NCS. The proposed resilient NCS design is applied to an active mass drive system subjected to several historical ground motions. 2) Three bandwidth allocation schemes are proposed for a NCS that shares the communication network with random traffic. In the first approach, the random traffic is predicted by employing Poisson graphical model. l_1 minimization is used to allocate bandwidth for an event-driven controller channel and a time-driven sensor channel. The sampling period for the time-driven channel is increased to reduce traffic to meet bandwidth constraints. In the second approach, a Hidden Markov Model (HMM) that includes a sufficient number of states is formulated using network simulation data and the Viterbi algorithm is used to predict the random traffic. Because the sampling period in the time-driven sensor channel is time-varying, a new stability condition for a linear time-invariant system with time-varying sampling period is presented. In the third approach, because the dynamic of the network has nonlinearities and uncertainties, network congestion is defined as a linear state space model which has perturbation. Q-learning based control is applied to the perturbed linear model by combining approximate dynamic programming and optimal control. To demonstrate the effectiveness of the proposed method, its results are compared to the results of the linear quadratic regulator. Advisors/Committee Members: Fadali, Mohammed Sami (advisor), Fadali, Mohammed Sami (committee member), Xu, Hao (committee member), Commuri, Sesh (committee member), Zaliapin, Ilya (committee member), Aureli, Matteo (committee member).

Subjects/Keywords: Bandwidth allocation; Delay compensation; Network control systems; Observer-Controller dissipativity; Resilience; Variable sampling period

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Cetin, G. (2019). Resilient Controller Design and Resource Allocation for Networked Control Systems. (Thesis). University of Nevada – Reno. Retrieved from http://hdl.handle.net/11714/5995

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Cetin, Gokhan. “Resilient Controller Design and Resource Allocation for Networked Control Systems.” 2019. Thesis, University of Nevada – Reno. Accessed April 19, 2021. http://hdl.handle.net/11714/5995.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Cetin, Gokhan. “Resilient Controller Design and Resource Allocation for Networked Control Systems.” 2019. Web. 19 Apr 2021.

Vancouver:

Cetin G. Resilient Controller Design and Resource Allocation for Networked Control Systems. [Internet] [Thesis]. University of Nevada – Reno; 2019. [cited 2021 Apr 19]. Available from: http://hdl.handle.net/11714/5995.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Cetin G. Resilient Controller Design and Resource Allocation for Networked Control Systems. [Thesis]. University of Nevada – Reno; 2019. Available from: http://hdl.handle.net/11714/5995

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

7. Ginnara Mexia Souto. Qualitative properties of impulsive semidynamical systems.

Degree: 2017, University of São Paulo

URL: http://www.teses.usp.br/teses/disponiveis/55/55135/tde-18042017-110611/

►

The theory of impulsive dynamical systems is an important tool to describe the evolution of systems where the continuous development of a process is interrupted… (more)

▼

The theory of impulsive dynamical systems is an important tool to describe the evolution of systems where the continuous development of a process is interrupted by abrupt changes of state. This phenomenon is called impulse. In many natural phenomena, the real deterministic models are often described by systems which involve impulses. The aim of this work is to investigate topological properties of impulsive semidynamical systems. We establish necessary and sufficient conditions to obtain uniform and orbital stability via Lyapunov functions. We solve a problem of Jake Hale for impulsive systems where we obtain the existence of a maximal compact invariant set. Also, we obtain results about almost periodic motions and asymptotically almost periodic motions in the context of impulsive systems. Some asymptotic properties for impulsive systems and for their associated discrete systems are investigated. The new results presented in this text are in the papers [11], [15] and [16].

A teoria de sistemas dinâmicos com impulsos é apropriada para descrever processos de evolução que sofrem variações de estado de curta duração e que podem ser consideradas instantâneas. Este fenômeno é chamado impulso. Para muitos fenômenos naturais, os modelos determinísticos mais realistas são frequentemente descritos por sistemas que envolvem impulsos. O objetivo deste trabalho é estudar propriedades topológicas para sistemas semidinâmicos impulsivos. Estabelecemos condições necessárias e suficientes para obtermos estabilidade uniforme e estabilidade orbital utilizando funções do tipo Lyapunov. Resolvemos um problema de Jack Hale para os sistemas impulsivos, onde obtemos a existência de um conjunto invariante compacto maximal. Além disso, obtemos resultados de movimentos quase periódicos e movimentos assintoticamente quase periódicos para sistemas impulsivos. Algumas propriedades assintóticas são estabelecidas para um sistema impulsivo e para seu sistema discreto associado. Os resultados novos apresentados neste trabalho estão presentes nos artigos [11], [15] e [16].

Advisors/Committee Members: Everaldo de Mello Bonotto, Márcia Cristina Anderson Braz Federson, Andréa Cristina Prokopczyk Arita, Marcelo Rempel Ebert, Ma To Fu, Tomás Caraballo Garrido.

Subjects/Keywords: Dissipatividade; Estabilidade; Impulsos; Recorrência; Sistemas dinâmicos; Dissipativity; Dynamical systems; Impulses; Recurrence; Stability

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APA (6^th Edition):

Souto, G. M. (2017). Qualitative properties of impulsive semidynamical systems. (Doctoral Dissertation). University of São Paulo. Retrieved from http://www.teses.usp.br/teses/disponiveis/55/55135/tde-18042017-110611/

Chicago Manual of Style (16^th Edition):

Souto, Ginnara Mexia. “Qualitative properties of impulsive semidynamical systems.” 2017. Doctoral Dissertation, University of São Paulo. Accessed April 19, 2021. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-18042017-110611/.

MLA Handbook (7^th Edition):

Souto, Ginnara Mexia. “Qualitative properties of impulsive semidynamical systems.” 2017. Web. 19 Apr 2021.

Vancouver:

Souto GM. Qualitative properties of impulsive semidynamical systems. [Internet] [Doctoral dissertation]. University of São Paulo; 2017. [cited 2021 Apr 19]. Available from: http://www.teses.usp.br/teses/disponiveis/55/55135/tde-18042017-110611/.

Council of Science Editors:

Souto GM. Qualitative properties of impulsive semidynamical systems. [Doctoral Dissertation]. University of São Paulo; 2017. Available from: http://www.teses.usp.br/teses/disponiveis/55/55135/tde-18042017-110611/

University of Notre Dame

8. Michael J. McCourt. Dissipativity Theory for Hybrid Systems with Applications to Networked Control Systems</h1>.

Degree: Electrical Engineering, 2013, University of Notre Dame

URL: https://curate.nd.edu/show/tb09j388f82

► This dissertation provides new results for energy-based analysis of systems modeled by switched or hybrid system models. This work is motivated by applications in… (more)

▼ This dissertation provides new results for energy-based analysis of systems modeled by switched or hybrid system models. This work is motivated by applications in cyber physical systems where systems evolve according to a combination of physical dynamics and cyber, event-driven dynamics. Having a combination of physical and logical dynamics, cyber physical systems are best modeled using switched or hybrid models. The original energy-based results presented here are based on the notions of passivity and dissipativity from classical nonlinear control theory. Existing theory provides valuable results for analyzing stability for interconnected systems. These methods are well established for nonlinear dynamical systems but do not directly apply to more general system models. A main goal of this dissertation is to provide generalizations of these concepts for hybrid systems. This includes an original definition of passivity indices for switched systems in Chapter 4 and notions of supervisory control using passivity indices in Chapter 6. It also includes original definitions of dissipativity for discrete-event systems and hybrid systems in Chapters 7 and 8. While these properties are useful in practice, they are often difficult to show. Chapter 10 covers computational methods of demonstrating passivity for switched systems. Often cyber physical systems are built up by connecting components over existing wired or wireless networks. The use of existing networks has advantages since they typically are lower cost and more easily reconfigured. While using existing networks has advantages, data communicated over a network may be delayed or lost entirely. Some original results, presented in Chapter 5, focuses on compensating for delays, lost data, and quantization error in networked systems. The problem of reducing communication rates by using a model based network control scheme to connect dissipative systems is studied in Chapter 9. Overall, this dissertation provides new methods of analyzing switched and hybrid systems with regard to energy storage and dissipation. These properties provide powerful stability results for single systems and interconnections of systems. Relevant examples are provided when needed to motivate the theory or demonstrate how it can be applied in practice. Advisors/Committee Members: Hai Lin, Committee Member, Vijay Gupta, Committee Member, Panos Antsaklis, Committee Chair, Bill Goodwine, Committee Member.

Subjects/Keywords: dissipativity theory; network control systems; hybrid systems; switched systems; nonlinear control systems; Cyber physical systems; passivity theory

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APA (6^th Edition):

McCourt, M. J. (2013). Dissipativity Theory for Hybrid Systems with Applications to Networked Control Systems</h1>. (Thesis). University of Notre Dame. Retrieved from https://curate.nd.edu/show/tb09j388f82

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

McCourt, Michael J.. “Dissipativity Theory for Hybrid Systems with Applications to Networked Control Systems</h1>.” 2013. Thesis, University of Notre Dame. Accessed April 19, 2021. https://curate.nd.edu/show/tb09j388f82.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

McCourt, Michael J.. “Dissipativity Theory for Hybrid Systems with Applications to Networked Control Systems</h1>.” 2013. Web. 19 Apr 2021.

Vancouver:

McCourt MJ. Dissipativity Theory for Hybrid Systems with Applications to Networked Control Systems</h1>. [Internet] [Thesis]. University of Notre Dame; 2013. [cited 2021 Apr 19]. Available from: https://curate.nd.edu/show/tb09j388f82.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

McCourt MJ. Dissipativity Theory for Hybrid Systems with Applications to Networked Control Systems</h1>. [Thesis]. University of Notre Dame; 2013. Available from: https://curate.nd.edu/show/tb09j388f82

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Notre Dame

9. Vahideh Ghanbari. Dissipativity/Passivity Based Control Design for Symmetric and Switched Systems with Application to Medical Robotics</h1>.

Degree: Electrical Engineering, 2017, University of Notre Dame

URL: https://curate.nd.edu/show/h415p843p2c

► This dissertation studies the concept of dissipativity and passivity, in theory, in practice, and in design of control systems. To this end, the passivity-based… (more)

▼ This dissertation studies the concept of dissipativity and passivity, in theory, in practice, and in design of control systems. To this end, the passivity-based approach is applied to the control of various types of challenging problems in control systems such as symmetric systems, switched systems, and the automatic cycle-rider systems. Dissipativity/passivity-based control approaches, referred to as energy-based control approaches, play an important role in the analysis and synthesis of dynamical control systems. In these approaches, the manner of energy exchange between different components of the system is analyzed. In addition to the direct connection of the passivity and stability concepts, the passivity and dissipativity-based approaches provide numerous advantages including conserved passivity of interconnected systems and guaranteed stability of closed loop systems. This dissertation contains three major topics all linked to the dissipativity/passivity concept. The stability and dissipativity of multi-agent systems connected in different symmetry configurations are studied from a theoretical point of view. The concept of symmetry is employed as a powerful tool to overcome the complexity of multi-agent systems by reducing the number of multiple interconnections. Both, stability conditions and passivity properties of cyclic and star-shaped symmetric systems are explored. In addition, we employ energy-based approaches using an enhanced passivation method in the design of switched controllers to circumvent the challenges of traditional methods. Moreover, to guarantee the desirable performance and stability for switched controllers, our approach provides new insights in extending the notion of passivity to hybrid systems. In practical applications, motion cycling system is considered. Combination of learnability and passivity concepts are applied to the state-dependent switched cycle-rider system, induced by functional electrical stimulation (FES) of lower muscles with the assistance of an electric motor. The FES cycling exercise has therapeutic applications in the rehabilitation of people who suffer from paraplegia due to the stroke, or spinal cord-injury. In this novel approach, the iterative learning control (ILC) scheme is utilized which benefits from the passivity property of the closed-loop dynamics to reject the nonlinearity and uncertainty of the dynamics and to achieve the desired tracking performance after certain cycling trials. Overall, this dissertation considers energy-based control methods to address both theoretical (symmetric and hybrid systems) and practical (functional electrical stimulation) problems and makes important contributions to the stability and performance of nonlinear control systems. Advisors/Committee Members: Panos J. Antsaklis, Research Director.

Subjects/Keywords: Dissipativity; Passivity; Symmetry; Switched Systems; Hybrid Systems; Functional Electrical Stimulation (FES); FES- Cycling; Iterative Learning Control (ILC)

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APA (6^th Edition):

Ghanbari, V. (2017). Dissipativity/Passivity Based Control Design for Symmetric and Switched Systems with Application to Medical Robotics</h1>. (Thesis). University of Notre Dame. Retrieved from https://curate.nd.edu/show/h415p843p2c

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Ghanbari, Vahideh. “Dissipativity/Passivity Based Control Design for Symmetric and Switched Systems with Application to Medical Robotics</h1>.” 2017. Thesis, University of Notre Dame. Accessed April 19, 2021. https://curate.nd.edu/show/h415p843p2c.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Ghanbari, Vahideh. “Dissipativity/Passivity Based Control Design for Symmetric and Switched Systems with Application to Medical Robotics</h1>.” 2017. Web. 19 Apr 2021.

Vancouver:

Ghanbari V. Dissipativity/Passivity Based Control Design for Symmetric and Switched Systems with Application to Medical Robotics</h1>. [Internet] [Thesis]. University of Notre Dame; 2017. [cited 2021 Apr 19]. Available from: https://curate.nd.edu/show/h415p843p2c.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Ghanbari V. Dissipativity/Passivity Based Control Design for Symmetric and Switched Systems with Application to Medical Robotics</h1>. [Thesis]. University of Notre Dame; 2017. Available from: https://curate.nd.edu/show/h415p843p2c

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

10. Israel, Haydi. Comportement asymptotique de modèles en séparation de phases : Asymptotic behaviour of some phase separation models.

Degree: Docteur es, Mathématiques et leurs interactions, 2013, Poitiers

URL: http://www.theses.fr/2013POIT2308

►

Dans cette thèse, on étudie l'existence, l'unicité et la régularité des solutionsd'équation de type Cahn-Hilliard ainsi que son comportement asymptotiqueen termes d'existence de l'attracteur global… (more)

▼

Dans cette thèse, on étudie l'existence, l'unicité et la régularité des solutionsd'équation de type Cahn-Hilliard ainsi que son comportement asymptotiqueen termes d'existence de l'attracteur global et d'un attracteur exponentiel. Cetteéquation est considérée dans un domaine borné et régulier pour différents types denonlinéarités et de conditions au bord.D'abord, on étudie l'équation avec des conditions de type Dirichlet sur le bord etune nonlinéarité régulière. Après, on considère une perturbation du problème et ondémontre l'existence d'une famille robuste d'attracteurs exponentiels lorsque ε tendvers 0.Ensuite, on étudie l'équation avec des conditions dynamiques sur le bord. On considèretout d'abord une nonlinéarité régulière et on donne une étude théorique etnumérique. Après, on illustre ces résultats par des simulations numériques en dimensiondeux d'espace qui permettent d'étudier l'influence des différents paramètres.On termine par une étude du modèle considéré avec une nonlinéarité singulière quel'on approche par des fonctions régulières et on introduit une notion de solutionappropriée.

This thesis is devoted to the study of the existence, uniqueness andregularity of solutions for a Cahn-Hilliard type equation, as well as the asymptoticbehavior in terms of existence of the global attractor and of an exponential attractor.This equation is considered in a bounded and smooth domain under variousassumptions on the nonlinear terms and with different boundary conditions.We start by studying the equation with Dirichlet boundary conditions and a regularnonlinearity. Then, we consider a perturbation of the problem and we prove theexistence of a robust family of exponential attractors as ε tends to 0.For the equation endowed with dynamic boundary conditions, we first consider aregular nonlinearity and we treat the theoretical and numerical analysis. Then, weillustrate the results by numerical simulations in two space dimension which allow usto study the influence of different parameters. Finally, we treat the problem consideredwith a singular nonlinearity which is approximated by regular functions andwe give a suitable notion of solutions.

Advisors/Committee Members: Miranville, Alain (thesis director), Petcu, Madalina (thesis director).

Subjects/Keywords: Équation de Cahn-Hilliard; Comportement asymtotique des solutions; Attracteur global; Attracteur exponentiel; Analyse numérique; Cahn-Hilliard Equation; Well posedness; Dissipativity; Asymptotic behaviorof solutions; Global attractor; Exponential attractor; Numerical analysis; 515.353

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Israel, H. (2013). Comportement asymptotique de modèles en séparation de phases : Asymptotic behaviour of some phase separation models. (Doctoral Dissertation). Poitiers. Retrieved from http://www.theses.fr/2013POIT2308

Chicago Manual of Style (16^th Edition):

Israel, Haydi. “Comportement asymptotique de modèles en séparation de phases : Asymptotic behaviour of some phase separation models.” 2013. Doctoral Dissertation, Poitiers. Accessed April 19, 2021. http://www.theses.fr/2013POIT2308.

MLA Handbook (7^th Edition):

Israel, Haydi. “Comportement asymptotique de modèles en séparation de phases : Asymptotic behaviour of some phase separation models.” 2013. Web. 19 Apr 2021.

Vancouver:

Israel H. Comportement asymptotique de modèles en séparation de phases : Asymptotic behaviour of some phase separation models. [Internet] [Doctoral dissertation]. Poitiers; 2013. [cited 2021 Apr 19]. Available from: http://www.theses.fr/2013POIT2308.

Council of Science Editors:

Israel H. Comportement asymptotique de modèles en séparation de phases : Asymptotic behaviour of some phase separation models. [Doctoral Dissertation]. Poitiers; 2013. Available from: http://www.theses.fr/2013POIT2308

11. Sleiman, Mohamad. Commande sous contraintes et incertitudes des réseaux de transport : Control under constraints and uncertainties of transportation networks.

Degree: Docteur es, Automatique, 2018, Bourgogne Franche-Comté

URL: http://www.theses.fr/2018UBFCA037

►

Le transport a toujours été l'un des composants déterminants de la vie urbaine et de son développement économique. A partir de la seconde moitié du… (more)

▼

Le transport a toujours été l'un des composants déterminants de la vie urbaine et de son développement économique. A partir de la seconde moitié du siècle dernier, l'amélioration du niveau de vie moyen et du taux d'équipement des ménages a permis au plus grand nombre d'accéder au déplacement par véhicule particulier. Nous avons donc assisté à une course entre la croissance du trafic routier et les progrès quantitatifs et qualitatifs de la voirie. Cette quantité d'actions génère des problèmes au niveau de la fluidité du trafic, d'où l'apparition de congestion.La congestion se produit aujourd'hui de façon quasi-quotidienne dans les réseaux routiers. Elle est source de perte de temps, augmentation de la consommation d'énergie, nuisance et détérioration de l'environnement. La solution aux problèmes de congestion routière ne passe pas toujours par l'augmentation de l'investissement dans les infrastructures de transport. En effet, l'offre de terrains est épuisée et le développement de l'infrastructure routière est coûteux. D'où, la tendance actuelle est plutôt à une meilleure utilisation des infrastructures existantes. En particulier, les feux de signalisation jouent un rôle important parmi les approches qui permettent d'éviter la congestion. En effet, la conception d'une meilleur commande des feux de signalisation a fait l'objet de plusieurs recherches afin d’améliorer la circulation au niveau du réseau à grande échelle.Dans ce mémoire, nous nous intéressons essentiellement à un travail en amont (action a priori) permettant d'éviter la congestion en forçant le nombre de véhicules à ne pas dépasser les capacités maximales des voies du réseau de transport. Après avoir décrire les réseaux de carrefours des feux, nous présentons d'une manière non exhaustive, les méthodes développées pour la gestion et la régulation des carrefours. Ensuite, nous proposons trois stratégies de contrôle qui traitent le problème de contrôle de manières différentes. La première fait appel à la théorie des systèmes dissipatifs, la deuxième consiste à stabiliser le système au sens de Lyapunov autour de sa situation nominale et la troisième le stabilise en temps fini (pendant les heures de pointe). Ces commandes proposées respectent les contraintes sur l'état et sur la commande et prennent en considération les incertitudes existantes dans le système. Finalement, l'existence des commandes proposées a été caractérisée par la faisabilité de certaines LMI en utilisant l'outil CVX sous MATLAB. De plus, les performances de chaque commande sont évaluées par des simulations.

Transport has always been one of the key components of urban life and its economic development. From the second half of the last century, the improvement in the average standard of living and the household equipment rate allowed the greatest number of people to access the journey by private vehicle. We therefore witnessed a race between the growth of road traffic and the quantitative and qualitative progress of roads. This quantity of actions generates problems with the fluidity of the…

Advisors/Committee Members: Bouyekhf, Rachid (thesis director).

Subjects/Keywords: Système de transport; Système thermodynamique; Contrôle des feux de circulation; Théorie des systèmes dissipatifs; Stabilisation; Incertitudes; Transportation system; Thermodynamic system; Traffic signal control; Dissipativity theory; Stability; Uncertainties; 621.382

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Sleiman, M. (2018). Commande sous contraintes et incertitudes des réseaux de transport : Control under constraints and uncertainties of transportation networks. (Doctoral Dissertation). Bourgogne Franche-Comté. Retrieved from http://www.theses.fr/2018UBFCA037

Chicago Manual of Style (16^th Edition):

Sleiman, Mohamad. “Commande sous contraintes et incertitudes des réseaux de transport : Control under constraints and uncertainties of transportation networks.” 2018. Doctoral Dissertation, Bourgogne Franche-Comté. Accessed April 19, 2021. http://www.theses.fr/2018UBFCA037.

MLA Handbook (7^th Edition):

Sleiman, Mohamad. “Commande sous contraintes et incertitudes des réseaux de transport : Control under constraints and uncertainties of transportation networks.” 2018. Web. 19 Apr 2021.

Vancouver:

Sleiman M. Commande sous contraintes et incertitudes des réseaux de transport : Control under constraints and uncertainties of transportation networks. [Internet] [Doctoral dissertation]. Bourgogne Franche-Comté; 2018. [cited 2021 Apr 19]. Available from: http://www.theses.fr/2018UBFCA037.

Council of Science Editors:

Sleiman M. Commande sous contraintes et incertitudes des réseaux de transport : Control under constraints and uncertainties of transportation networks. [Doctoral Dissertation]. Bourgogne Franche-Comté; 2018. Available from: http://www.theses.fr/2018UBFCA037

University of Manchester

12. Maya Gonzalez, Martin. Frequency domain analysis of feedback interconnections of stable systems.

Degree: PhD, 2015, University of Manchester

URL: https://www.research.manchester.ac.uk/portal/en/theses/frequency-domain-analysis-of-feedback-interconnections-of-stable-systems(c6415a11-3417-48ba-9961-ecef80b08e0e).html ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.644493

► The study of non-linear input-output maps can be summarized by three concepts: Gain, Positivity and Dissipativity. However, in order to make efficient use of these… (more)

▼ The study of non-linear input-output maps can be summarized by three concepts: Gain, Positivity and Dissipativity. However, in order to make efficient use of these theorems it is necessary to use loop transformations and weightings, or so called ”multipliers”.The first problem this thesis studies is the feedback interconnection of a Linear Time Invariant system with a memoryless bounded and monotone non-linearity, or so called Absolute Stability problem, for which the test for stability is equivalent to show the existence of a Zames-Falb multiplier. The main advantage of this approach is that Zames–Falb multipliers can be specialized to recover important tools such as Circle criterion and the Popov criterion. Albeit Zames-Falb multipliers are an efficient way of describing non-linearities in frequency domain, the Fourier transform of the multiplier does not preserve the L1 norm. This problem has been addressed by two paradigms: mathematically complex multipliers with exact L1 norm and multipliers with mathematically tractable frequency domain properties but approximate L1 norm. However, this thesis exposes a third factor that leads to conservative results: causality of Zames-Falb multipliers. This thesis exposes the consequences of narrowing the search Zames-Falb multipliers to causal multipliers, and motivated by this argument, introduces an anticausal complementary method for the causal multiplier synthesis in [1].The second subject of this thesis is the feedback interconnection of two bounded systems. The interconnection of two arbitrary systems has been a well understood problem from the point of view of Dissipativity and Passivity. Nonetheless, frequency domain analysis is largely restricted for passive systems by the need of canonically factorizable multipliers, while Dissipativity mostly exploits constant multipliers. This thesis uses IQC to show the stability of the feedback interconnection of two non-linear systems by introducing an equivalent representation of the IQC Theorem, and then studies formally the conditions that the IQC multipliers need. The result of this analysis is then compared with Passivity and Dissipativity by a series of corollaries.

Subjects/Keywords: 621.3; Integral Quadratic Constraints; IQC; Zames-Falb multiplier; Popov multiplier; Linear Matrix Inequalities; LMI; Absolute Stability; Passivity; Dissipativity; Small Gain; Robust Control; Non-linear Control

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Maya Gonzalez, M. (2015). Frequency domain analysis of feedback interconnections of stable systems. (Doctoral Dissertation). University of Manchester. Retrieved from https://www.research.manchester.ac.uk/portal/en/theses/frequency-domain-analysis-of-feedback-interconnections-of-stable-systems(c6415a11-3417-48ba-9961-ecef80b08e0e).html ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.644493

Chicago Manual of Style (16^th Edition):

Maya Gonzalez, Martin. “Frequency domain analysis of feedback interconnections of stable systems.” 2015. Doctoral Dissertation, University of Manchester. Accessed April 19, 2021. https://www.research.manchester.ac.uk/portal/en/theses/frequency-domain-analysis-of-feedback-interconnections-of-stable-systems(c6415a11-3417-48ba-9961-ecef80b08e0e).html ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.644493.

MLA Handbook (7^th Edition):

Maya Gonzalez, Martin. “Frequency domain analysis of feedback interconnections of stable systems.” 2015. Web. 19 Apr 2021.

Vancouver:

Maya Gonzalez M. Frequency domain analysis of feedback interconnections of stable systems. [Internet] [Doctoral dissertation]. University of Manchester; 2015. [cited 2021 Apr 19]. Available from: https://www.research.manchester.ac.uk/portal/en/theses/frequency-domain-analysis-of-feedback-interconnections-of-stable-systems(c6415a11-3417-48ba-9961-ecef80b08e0e).html ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.644493.

Council of Science Editors:

Maya Gonzalez M. Frequency domain analysis of feedback interconnections of stable systems. [Doctoral Dissertation]. University of Manchester; 2015. Available from: https://www.research.manchester.ac.uk/portal/en/theses/frequency-domain-analysis-of-feedback-interconnections-of-stable-systems(c6415a11-3417-48ba-9961-ecef80b08e0e).html ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.644493

13. Karalis, Paschalis. Stability and stabilisation of switching and hybrid dissipative systems.

Degree: PhD, 2018, University of Manchester

URL: https://www.research.manchester.ac.uk/portal/en/theses/stability-and-stabilisation-of-switching-and-hybrid-dissipative-systems(3e6ee880-e59a-49ed-a2f2-1612df85557f).html ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.764747

► A method is proposed to infer stability properties for non-linear switching under continuous state feedback. Continuous-time systems which are dissipative in the multiple storage function… (more)

▼ A method is proposed to infer stability properties for non-linear switching under continuous state feedback. Continuous-time systems which are dissipative in the multiple storage function sense are considered. A partition of the state space, induced by the cross-supply rates and the feedback function, is used to derive a restriction on switching. Then, conditions are proposed, under which, systems controlled by the feedback function and switching according to the rule are stable. In particular, Lyapunov and asymptotic stability are proved, both in a local and in a global context. Further, it is shown that the approach can be extended when one uses multiple controllers, and, therefore, is able to construct multiple partitions; conditions for this case are also presented. Finally, it is shown that, for the switching families that satisfy the switching rule posited by the results, one is able to find elements (that is, stabilising switching laws for the system) which are non-Zeno. Additional rule-sets that allow this are provided. It is argued that the conditions proposed here are easier to verify and apply, and that they offer additional flexibility when compared to those proposed by other approaches in the literature. The same infrastructure is used in the study of hybrid systems. For a general class of non-linear hybrid systems, a new property is proposed, that retains some of the properties of dissipativity, but it differs from it, crucially in the fact that it is not purely input-output. For systems having this property, it is shown that the partition used in the switching case can also be used. This, along with a set of conditions allows for the characterisation of the system behaviour in two scenaria. First, when the continuous behaviours and the jumping scheme act co-operatively, leading the system to lower energy levels (from the dissipativity point of view). Second, when the continuous behaviours are allowed to increase the stored energy, but the jumping is able to 6 compensate this increase. In the first case, it is shown that the equilibrium point under study is stable; in the second, it is shown that the system exhibits a type of attractivity, and, under additional conditions, it is asymptotically stable. Besides stability, a collection of stabilisation results are given for the case of dissipative switching systems. It is shown that one may design state feedback functions (controllers) with the objective that they satisfy the conditions of the stability theorems in this work. Then, systems under the designed controllers are shown to be stable, provided that the switching adheres to a specific switching rule. This problem is approached using a variety of tools taken from analysis, multi-valued functions and the space of non-switching stabilisation. In addition to the main results, an extensive overview of the literature in the area of switching and hybrid systems is offered, with emphasis on the topics of stability and dissipativity. Finally, a collection of numerical examples are given, validating the…

Subjects/Keywords: 004; Feedback; Dissipativity; Stability; Hybrid Systems; Switching Systems

…presentation of the core concepts of the work, namely, hybrid systems, dissipativity and stability… …answers to the stability question mentioned above, making use of the dissipativity framework… …The impulse behind the development of the dissipativity framework is to formalise such… …description, the connection of stability with dissipativity should already be clear, at least at the… …permissive, bottom-up conception of dissipativity will be used, so that the dissipativity…

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APA (6^th Edition):

Karalis, P. (2018). Stability and stabilisation of switching and hybrid dissipative systems. (Doctoral Dissertation). University of Manchester. Retrieved from https://www.research.manchester.ac.uk/portal/en/theses/stability-and-stabilisation-of-switching-and-hybrid-dissipative-systems(3e6ee880-e59a-49ed-a2f2-1612df85557f).html ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.764747

Chicago Manual of Style (16^th Edition):

Karalis, Paschalis. “Stability and stabilisation of switching and hybrid dissipative systems.” 2018. Doctoral Dissertation, University of Manchester. Accessed April 19, 2021. https://www.research.manchester.ac.uk/portal/en/theses/stability-and-stabilisation-of-switching-and-hybrid-dissipative-systems(3e6ee880-e59a-49ed-a2f2-1612df85557f).html ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.764747.

MLA Handbook (7^th Edition):

Karalis, Paschalis. “Stability and stabilisation of switching and hybrid dissipative systems.” 2018. Web. 19 Apr 2021.

Vancouver:

Karalis P. Stability and stabilisation of switching and hybrid dissipative systems. [Internet] [Doctoral dissertation]. University of Manchester; 2018. [cited 2021 Apr 19]. Available from: https://www.research.manchester.ac.uk/portal/en/theses/stability-and-stabilisation-of-switching-and-hybrid-dissipative-systems(3e6ee880-e59a-49ed-a2f2-1612df85557f).html ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.764747.

Council of Science Editors:

Karalis P. Stability and stabilisation of switching and hybrid dissipative systems. [Doctoral Dissertation]. University of Manchester; 2018. Available from: https://www.research.manchester.ac.uk/portal/en/theses/stability-and-stabilisation-of-switching-and-hybrid-dissipative-systems(3e6ee880-e59a-49ed-a2f2-1612df85557f).html ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.764747

14. Usova, Anastasiia. Generalized Scattering-Based Stabilization of Nonlinear Interconnected Systems.

Degree: 2018, University of Western Ontario

URL: https://ir.lib.uwo.ca/etd/5821

► The research presented in this thesis is aimed at development of new methods and techniques for stability analysis and stabilization of interconnections of nonlinear systems,… (more)

▼ The research presented in this thesis is aimed at development of new methods and techniques for stability analysis and stabilization of interconnections of nonlinear systems, in particular, in the presence of communication delays. Based on the conic systems' formalism, we extend the notion of conicity for the non-planar case where the dimension of the cone's central subspace may be greater than one. One of the advantages of the notion of non-planar conicity is that any dissipative system with a quadratic supply rate can be represented as a non-planar conic system; specifically, its central subspace and radius can be calculated using an algorithm developed in this thesis. For a feedback interconnection of two non-planar conic systems, a graph separation condition for finite-gain L2-stability is established in terms of central subspaces and radii of the subsystems' non-planar cones. Subsequently, a generalized version of the scattering transformation is developed which is applicable to non-planar conic systems. The transformation allows for rendering the dynamics of a non-planar conic system into a prescribed cone with compatible dimensions; the corresponding design algorithm is presented. The ability of the generalized scattering transformation to change the parameters of a system's cone can be used for stabilization of interconnections of non-planar conic systems. For interconnections without communication delays, stabilization is achieved through the design of a scattering transformation that guarantees the fulfilment of the graph separation stability condition. For interconnected systems with communication delays, scattering transformations are designed on both sides of communication channel in a way that guarantees the overall stability through fulfilment of the small gain stability condition. Application to stabilization of bilateral teleoperators with multiple heterogeneous communication delays is briefly discussed. Next, the coupled stability problem is addressed based on the proposed scattering based stabilization techniques. The coupled stability problem is one of the most fundamental problems in robotics. It requires to guarantee stability of a controlled manipulator in contact with an environment whose dynamics are unknown, or at least not known precisely. We present a scattering-based design procedure that guarantees coupled stability while at the same time does not affect the robot's trajectory tracking performance in free space. A detailed design example is presented that demonstrates the capabilities of the scattering-based design approach, as well as its advantages in comparison with more conventional passivity-based approaches. Finally, the generalized scattering-based technique is applied to the problem of stabilization of complex interconnections of dissipative systems with quadratic supply rates in the presence of multiple heterogeneous constant time delays. Our approach is to design local scattering transformations that guarantee the fulfilment of a multi-dimensional small-gain stability condition…

Subjects/Keywords: Stability; QSR-dissipativity; non-planar conicity; scattering transformation; finite gain L2-stability; small-gain theorem; coupled stability; Controls and Control Theory; Robotics

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APA (6^th Edition):

Usova, A. (2018). Generalized Scattering-Based Stabilization of Nonlinear Interconnected Systems. (Thesis). University of Western Ontario. Retrieved from https://ir.lib.uwo.ca/etd/5821

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Usova, Anastasiia. “Generalized Scattering-Based Stabilization of Nonlinear Interconnected Systems.” 2018. Thesis, University of Western Ontario. Accessed April 19, 2021. https://ir.lib.uwo.ca/etd/5821.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Usova, Anastasiia. “Generalized Scattering-Based Stabilization of Nonlinear Interconnected Systems.” 2018. Web. 19 Apr 2021.

Vancouver:

Usova A. Generalized Scattering-Based Stabilization of Nonlinear Interconnected Systems. [Internet] [Thesis]. University of Western Ontario; 2018. [cited 2021 Apr 19]. Available from: https://ir.lib.uwo.ca/etd/5821.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Usova A. Generalized Scattering-Based Stabilization of Nonlinear Interconnected Systems. [Thesis]. University of Western Ontario; 2018. Available from: https://ir.lib.uwo.ca/etd/5821

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Manchester

15. Maya Gonzalez, Martin. FREQUENCY DOMAIN ANALYSIS OF FEEDBACK INTERCONNECTIONS OF STABLE SYSTEMS.

Degree: 2015, University of Manchester

URL: http://www.manchester.ac.uk/escholar/uk-ac-man-scw:245510

► The study of non-linear input-output maps can be summarized by three concepts: Gain, Positivity and Dissipativity. However, in order to make efficient use of these… (more)

▼ The study of non-linear input-output maps can be summarized by three concepts: Gain, Positivity and Dissipativity. However, in order to make efficient use of these theorems it is necessary to use loop transformations and weightings, or so called ”multipliers”.The first problem this thesis studies is the feedback interconnection of a Linear Time Invariant system with a memoryless bounded and monotone non-linearity, or so called Absolute Stability problem, for which the test for stability is equivalent to show the existence of a Zames-Falb multiplier. The main advantage of this approach is that Zames–Falb multipliers can be specialized to recover important tools such as Circle criterion and the Popov criterion.Albeit Zames-Falb multipliers are an efficient way of describing non-linearities in frequency domain, the Fourier transform of the multiplier does not preserve the L1 norm. This problem has been addressed by two paradigms: mathematically complex multipliers with exact L1 norm and multipliers with mathematically tractable frequency domain properties but approximate L1 norm. However, this thesis exposes a third factor that leads to conservative results: causality of Zames-Falb multipliers. This thesis exposes the consequences of narrowing the search Zames-Falb multipliers to causal multipliers, and motivated by this argument, introduces an anticausal complementary method for the causal multiplier synthesis in [1].The second subject of this thesis is the feedback interconnection of two bounded systems. The interconnection of two arbitrary systems has been a well understood problem from the point of view of Dissipativity and Passivity. Nonetheless, frequency domain analysis is largely restricted for passive systems by the need of canonically factorizable multipliers, while Dissipativity mostly exploits constant multipliers.This thesis uses IQC to show the stability of the feedback interconnection of two non-linear systems by introducing an equivalent representation of the IQC Theorem, and then studies formally the conditions that the IQC multipliers need. The result of this analysis is then compared with Passivity and Dissipativity by a series of corollaries. Advisors/Committee Members: Lanzon, Alexander.

Subjects/Keywords: Integral Quadratic Constraints; IQC; Zames-Falb multiplier; Popov multiplier; Linear Matrix Inequalities; LMI; Absolute Stability; Passivity; Dissipativity; Small Gain; Robust Control; Non-linear Control

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Maya Gonzalez, M. (2015). FREQUENCY DOMAIN ANALYSIS OF FEEDBACK INTERCONNECTIONS OF STABLE SYSTEMS. (Doctoral Dissertation). University of Manchester. Retrieved from http://www.manchester.ac.uk/escholar/uk-ac-man-scw:245510

Chicago Manual of Style (16^th Edition):

Maya Gonzalez, Martin. “FREQUENCY DOMAIN ANALYSIS OF FEEDBACK INTERCONNECTIONS OF STABLE SYSTEMS.” 2015. Doctoral Dissertation, University of Manchester. Accessed April 19, 2021. http://www.manchester.ac.uk/escholar/uk-ac-man-scw:245510.

MLA Handbook (7^th Edition):

Maya Gonzalez, Martin. “FREQUENCY DOMAIN ANALYSIS OF FEEDBACK INTERCONNECTIONS OF STABLE SYSTEMS.” 2015. Web. 19 Apr 2021.

Vancouver:

Maya Gonzalez M. FREQUENCY DOMAIN ANALYSIS OF FEEDBACK INTERCONNECTIONS OF STABLE SYSTEMS. [Internet] [Doctoral dissertation]. University of Manchester; 2015. [cited 2021 Apr 19]. Available from: http://www.manchester.ac.uk/escholar/uk-ac-man-scw:245510.

Council of Science Editors:

Maya Gonzalez M. FREQUENCY DOMAIN ANALYSIS OF FEEDBACK INTERCONNECTIONS OF STABLE SYSTEMS. [Doctoral Dissertation]. University of Manchester; 2015. Available from: http://www.manchester.ac.uk/escholar/uk-ac-man-scw:245510

16. Laib, Khaled. Analyse hiérarchisée de la robustesse des systèmes incertains de grande dimension : Hierarchical robustness analysis of uncertain large scale systems.

Degree: Docteur es, Automatique, 2017, Lyon

URL: http://www.theses.fr/2017LYSEC027

► Ces travaux de thèse concernent l'analyse de la robustesse (stabilité et performance) de systèmes linéaires incertains de grande dimension avec une structure hiérarchique. Ces systèmes… (more)

▼ Ces travaux de thèse concernent l'analyse de la robustesse (stabilité et performance) de systèmes linéaires incertains de grande dimension avec une structure hiérarchique. Ces systèmes sont obtenus en interconnectant plusieurs sous-systèmes incertains à travers une topologie hiérarchique. L'analyse de la robustesse de ces systèmes est un problème à deux aspects : la robustesse et la grande dimension. La résolution efficace de ce problème en utilisant les approches usuelles est difficile, voire impossible, à cause de la complexité et de la grande taille du problème d'optimisation associé. La conséquence de cette complexité est une augmentation importante du temps de calcul nécessaire pour résoudre ce problème d'optimisation. Afin de réduire ce temps de calcul, les travaux existants ne considèrent que des classes particulières de systèmes linéaires incertains de grande dimension. De plus, la structure hiérarchique de ces systèmes n'est pas prise en compte, ce qui montre, de notre point de vue, les limitations de ces résultats. Notre objectif est d'exploiter la structure hiérarchique de ces systèmes afin de ramener la résolution du problème d'analyse de grande taille à la résolution d'un ensemble de problèmes d'analyse de faible taille, ce qui aura comme conséquence une diminution du temps de calcul. De plus, un autre avantage de cette approche est la possibilité de résoudre ces problèmes en même temps en utilisant le calcul parallèle. Afin de prendre en compte la structure hiérarchique du système incertain de grande dimension, nous modélisons ce dernier comme l'interconnexion de plusieurs sous-systèmes incertains qui sont eux-mêmes l'interconnexion d'autres sous-systèmes incertains, etc.. Cette technique récursive de modélisation est faite sur plusieurs niveaux hiérarchiques. Afin de réduire la complexité de la représentation des systèmes incertains, nous construisons une base de propriétés de dissipativité pour chaque sous-système incertain de chaque niveau hiérarchique. Cette base contient plusieurs éléments qui caractérisent des informations utiles sur le comportement de systèmes incertains. Des exemples de telles caractérisations sont : la caractérisation de la phase incertaine, la caractérisation du gain incertain, etc.. L'obtention de chaque élément est relaxée comme un problème d'optimisation convexe ou quasi-convexe sous contraintes LMI. L'analyse de la robustesse de systèmes incertains de grande dimension est ensuite faite de façon hiérarchique en propageant ces bases de propriétés de dissipativité d'un niveau hiérarchique à un autre. Nous proposons deux algorithmes d'analyse hiérarchique qui permettent de réduire le temps de calcul nécessaire pour analyser la robustesse de ces systèmes. Un avantage important de notre approche est la possibilité d'exécuter des parties de ces algorithmes de façon parallèle à chaque niveau hiérarchique ce qui diminuera de façon importante ce temps de calcul. Pour finir et dans le même contexte de système de grande dimension, nous nous intéressons à l'analyse de la performance… Advisors/Committee Members: Scorletti, Gérard (thesis director), Korniienko, Anton (thesis director), Morel, Florent (thesis director), Dinh, Marc (thesis director).

Subjects/Keywords: Systèmes linéaires incertains; Grande dimension et structure hiérarchique; Analyse de la 225802384esse; Propriété de dissipativité; Optimisation LMI; Caractérisation de systèmes incertains; Base de propriétés de dissipativité; Propagation de bases; Approche hiérarchique; Analyse du flux de puissances incertaines; Uncertain linear systems; Large scale and hierarchical structure; Robustness analysis; Dissipativity properties; LMI optimisation; Uncertain systems characterisations; Dissipativity properties basis; Basis propagations; Hierarchical approach; Uncertain power flow analysis

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Laib, K. (2017). Analyse hiérarchisée de la robustesse des systèmes incertains de grande dimension : Hierarchical robustness analysis of uncertain large scale systems. (Doctoral Dissertation). Lyon. Retrieved from http://www.theses.fr/2017LYSEC027

Chicago Manual of Style (16^th Edition):

Laib, Khaled. “Analyse hiérarchisée de la robustesse des systèmes incertains de grande dimension : Hierarchical robustness analysis of uncertain large scale systems.” 2017. Doctoral Dissertation, Lyon. Accessed April 19, 2021. http://www.theses.fr/2017LYSEC027.

MLA Handbook (7^th Edition):

Laib, Khaled. “Analyse hiérarchisée de la robustesse des systèmes incertains de grande dimension : Hierarchical robustness analysis of uncertain large scale systems.” 2017. Web. 19 Apr 2021.

Vancouver:

Laib K. Analyse hiérarchisée de la robustesse des systèmes incertains de grande dimension : Hierarchical robustness analysis of uncertain large scale systems. [Internet] [Doctoral dissertation]. Lyon; 2017. [cited 2021 Apr 19]. Available from: http://www.theses.fr/2017LYSEC027.

Council of Science Editors:

Laib K. Analyse hiérarchisée de la robustesse des systèmes incertains de grande dimension : Hierarchical robustness analysis of uncertain large scale systems. [Doctoral Dissertation]. Lyon; 2017. Available from: http://www.theses.fr/2017LYSEC027

17. Omran, Hassan. Contribution à la commande de systèmes non linéaires sous échantillonnage apériodique : Contribution to the control of nonlinear systems under aperiodic sampling.

Degree: Docteur es, Automatique, génie informatique, traitement du signal et images, 2014, Ecole centrale de Lille

URL: http://www.theses.fr/2014ECLI0005

►

Cette thèse est dédiée à l’analyse de stabilité des systèmes non linéaires sous échantillonnage variant avec le temps. Lors de l’implémentation numérique d’un contrôleur qui… (more)

▼

Cette thèse est dédiée à l’analyse de stabilité des systèmes non linéaires sous échantillonnage variant avec le temps. Lors de l’implémentation numérique d’un contrôleur qui est calculé en temps-continu (approche par émulation), il est d'un grand intérêt de fournir des critères de stabilité et d’estimer la borne supérieure de l’intervalle d’échantillonnage qui garantit la stabilité du système en temps discret. Plusieurs travaux récents ont abordé ces questions dans le cas de modèles linéaires, mais la question a rarement été abordée dans une étude quantitative et formelle pour les systèmes non linéaires.Tout d'abord, le mémoire présente un aperçu sur les systèmes échantillonnés. Les défis et les principales méthodes pour l'analyse de stabilité sont présentés pour le cas des systèmes linéaires invariants dans le temps et celui des systèmes non linéaires. Ensuite, l’analyse de la stabilité locale des systèmes bilinéaires échantillonnés contrôlés par un retour d'état linéaire est considérée. Deux approches sont utilisées, la première basée sur la théorie des systèmes hybrides, la seconde basée sur l’analyse des ensembles invariants contractants. Cette dernière approche est inspirée par la théorie de la dissipativité. L’ensemble de ces résultats conduisent à des conditions suffisantes de stabilité exprimées sous forme LMI.Enfin, les conditions de stabilité basées sur la dissipativité sont étendues au cas des systèmes non linéaires affines en l'entrée. Les résultats sont ensuite repris dans le cas spécifique des systèmes non linéaires polynomiaux où les conditions de stabilité sont vérifiées numériquement en utilisant la décomposition en somme des carrés (SOS).

This PhD thesis is dedicated to the stability analyzis of nonlinear systems under sampled-data control, with arbitrarily time-varying sampling intervals. When a controller is designed in continuous-time, and then implemented digitally (emulation approach), it is of great interest to provide stability criteria, and to estimate the bound on the sampling intervals which guarantees the stability of the sampled-data system. Whereas several works deal with linear models, the issue has been rarely addressed in a formal quantitative study in the nonlinear case.First, an overview on sampled-data control is presented. Challenges and main methodologies for stability analysis are presented for both the linear time-invariant and the nonlinear cases.Then, local stability of bilinear sampled-data systems controlled by a linear state feedback is considered by using two approaches: the first one is based on hybrid systems theory; the second one is based on the analyzis of contractive invariant sets and is inspired by the dissipativity theory. Both approaches provide sufficient stability conditions in the form of LMI.Finally, the dissipativity–based stability conditions are extended for the more general case of nonlinear systems which are affine in the input, including the case of polynomial systems which leads to conditions in the form of sum of squares (SOS).

Advisors/Committee Members: Richard, Jean-Pierre (thesis director), Lamnabhi-Lagarrigue, Françoise (thesis director), Hetel, Laurentiu (thesis director).

Subjects/Keywords: Systèmes échantillonnées; Systèmes bilinéaires; Systèmes non linéaires; Systèmes dynamiquess hybrides; Echantillonnage apériodique; Stabilité; Dissipativité; Inégalités matricielles linéaires (LMIs); Somme des carrés (SOS); Sampled -data systems; Bilinear systems; Nonlinear systems; Hybrid dynamical systems; Aperiodic sampling; Stability; Dissipativity; Linear matrix inequalities (LMIs; Sum of squares (SOS)

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Omran, H. (2014). Contribution à la commande de systèmes non linéaires sous échantillonnage apériodique : Contribution to the control of nonlinear systems under aperiodic sampling. (Doctoral Dissertation). Ecole centrale de Lille. Retrieved from http://www.theses.fr/2014ECLI0005

Chicago Manual of Style (16^th Edition):

Omran, Hassan. “Contribution à la commande de systèmes non linéaires sous échantillonnage apériodique : Contribution to the control of nonlinear systems under aperiodic sampling.” 2014. Doctoral Dissertation, Ecole centrale de Lille. Accessed April 19, 2021. http://www.theses.fr/2014ECLI0005.

MLA Handbook (7^th Edition):

Omran, Hassan. “Contribution à la commande de systèmes non linéaires sous échantillonnage apériodique : Contribution to the control of nonlinear systems under aperiodic sampling.” 2014. Web. 19 Apr 2021.

Vancouver:

Omran H. Contribution à la commande de systèmes non linéaires sous échantillonnage apériodique : Contribution to the control of nonlinear systems under aperiodic sampling. [Internet] [Doctoral dissertation]. Ecole centrale de Lille; 2014. [cited 2021 Apr 19]. Available from: http://www.theses.fr/2014ECLI0005.

Council of Science Editors:

Omran H. Contribution à la commande de systèmes non linéaires sous échantillonnage apériodique : Contribution to the control of nonlinear systems under aperiodic sampling. [Doctoral Dissertation]. Ecole centrale de Lille; 2014. Available from: http://www.theses.fr/2014ECLI0005

18. Doumbé Bangola, Brice Landry. Étude de modèles de champ de phase de type Caginalp : Study of Caginalp type phase-field models.

Degree: Docteur es, Mathématiques et leurs applications, 2013, Poitiers

URL: http://www.theses.fr/2013POIT2260

►

Ce rapport de thèse est consacré à l'étude de modèles de champ de phase de type Caginalp. Nous considérons ici, deux modèles : le premier… (more)

▼

Ce rapport de thèse est consacré à l'étude de modèles de champ de phase de type Caginalp. Nous considérons ici, deux modèles : le premier étant une généralisation du modèle de champ de phase de Caginalp basée sur une généralisation de la loi de Maxwell-Cattaneo et le second une généralisation provenant de la théorie de la conduction de chaleur introduite par Chen et Gurtin. L'étude du premier modèle est faite aussi bien dans un domaine borné (avec un potentiel régulier puis dans le cas d'un potentiel non régulier), que dans un domaine non borné, en l'occurrence R3. Le second modèle est un problème de champ de phase avec un couplage (linéaire et non linéaire). Tout d'abord, l'existence, l'unicité et la régularité des solutions sont analysées aux moyens d'arguments classiques. Ensuite, l'existence d'ensembles bornés absorbants et compacts attractifs est établie, assurant ainsi l'existence de l'attracteur global. Enfin, dans certains cas, l'existence d'attracteurs exponentiels, ainsi que le comportement spatial des solutions lorsque le domaine spatial est un cylindre semi-infini tri-dimensionnel, sont analysés.

This thesis report is dedicated to the study of Caginalp type phase-field Models. Here, we consider two models: the first one being a generalization of the field phase Caginalp based on a generalization of the Maxwell-Cattaneo law and the second one coming from the theory of heat conduction involving two temperatures. We study the first model in bounded (with regular and irregular potentials) and unbounded (i.e. R3) domains. The second model is a phase-field one with coupling term (linear and nonlinear). Firstly, the existence, uniqueness and regularity of solutions are analyzed by means of classical arguments. Secondly, the existence of bounded absorbing sets and attractive compact is established. Such results ensures the existence of the global attractor. Finally, in some cases, the existence of exponential attractors, as well as the spatial behavior of solutions when the spatial domain is a three-dimensional semi-infinite cylinder, are analyzed.

Advisors/Committee Members: Miranville, Alain (thesis director).

Subjects/Keywords: Système de Caginalp; Loi de Maxwell-Cattaneo; Dissipativité; Comportementasymptotique des solutions; Comportement spatial des solutions; Cylindre semi-infini; Attracteur global; Attracteur exponentiel; Caginalp system; Maxwell-Cattaneo law; Well posedness; Dissipativity; Long time behavior of solutions; Spatial behavior of solutions; Semi-infinite cylinder; Global attractor; Exponential attractor; 517.95

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Doumbé Bangola, B. L. (2013). Étude de modèles de champ de phase de type Caginalp : Study of Caginalp type phase-field models. (Doctoral Dissertation). Poitiers. Retrieved from http://www.theses.fr/2013POIT2260

Chicago Manual of Style (16^th Edition):

Doumbé Bangola, Brice Landry. “Étude de modèles de champ de phase de type Caginalp : Study of Caginalp type phase-field models.” 2013. Doctoral Dissertation, Poitiers. Accessed April 19, 2021. http://www.theses.fr/2013POIT2260.

MLA Handbook (7^th Edition):

Doumbé Bangola, Brice Landry. “Étude de modèles de champ de phase de type Caginalp : Study of Caginalp type phase-field models.” 2013. Web. 19 Apr 2021.

Vancouver:

Doumbé Bangola BL. Étude de modèles de champ de phase de type Caginalp : Study of Caginalp type phase-field models. [Internet] [Doctoral dissertation]. Poitiers; 2013. [cited 2021 Apr 19]. Available from: http://www.theses.fr/2013POIT2260.

Council of Science Editors:

Doumbé Bangola BL. Étude de modèles de champ de phase de type Caginalp : Study of Caginalp type phase-field models. [Doctoral Dissertation]. Poitiers; 2013. Available from: http://www.theses.fr/2013POIT2260

19. Wehbe, Charbel. Étude asymptotique de modèles en transition de phase : Asymptotic study of phase transition models.

Degree: Docteur es, Mathématiques et leurs interactions, 2014, Poitiers

URL: http://www.theses.fr/2014POIT2311

►

Ce rapport de thèse est consacré à l'étude de modèles de champ de phase de type Caginalp. Nous considérons ici, deux parties : la première… (more)

Subjects/Keywords: Système de Caginalp; Loi de Maxwell-Cattaneo; Potentiel régulier; Potentiel singulier; Caractère bien posé; Dissipativité; Comportement asymptotique des solutions; Attracteur global; Attracteur exponentiel; Caginalp system; Maxwell-Cattaneo law; Regular potential; Singular potential; Well posedness; Dissipativity; Long time behavior of solutions; Global attractor; Exponential attractor; 515.353

Record Details Similar Records Cite « Share

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Wehbe, C. (2014). Étude asymptotique de modèles en transition de phase : Asymptotic study of phase transition models. (Doctoral Dissertation). Poitiers. Retrieved from http://www.theses.fr/2014POIT2311

Chicago Manual of Style (16^th Edition):

Wehbe, Charbel. “Étude asymptotique de modèles en transition de phase : Asymptotic study of phase transition models.” 2014. Doctoral Dissertation, Poitiers. Accessed April 19, 2021. http://www.theses.fr/2014POIT2311.

MLA Handbook (7^th Edition):

Wehbe, Charbel. “Étude asymptotique de modèles en transition de phase : Asymptotic study of phase transition models.” 2014. Web. 19 Apr 2021.

Vancouver:

Wehbe C. Étude asymptotique de modèles en transition de phase : Asymptotic study of phase transition models. [Internet] [Doctoral dissertation]. Poitiers; 2014. [cited 2021 Apr 19]. Available from: http://www.theses.fr/2014POIT2311.

Council of Science Editors:

Wehbe C. Étude asymptotique de modèles en transition de phase : Asymptotic study of phase transition models. [Doctoral Dissertation]. Poitiers; 2014. Available from: http://www.theses.fr/2014POIT2311

20. Zhang, Zhengyang. A class of state-dependent delay differential equations and applications to forest growth : Études d'une classe d'équations à retard dépendant de l'état et application à la croissance de forêts.

Degree: Docteur es, Mathématiques appliquées et calcul scientifique, 2018, Bordeaux

URL: http://www.theses.fr/2018BORD0062

►

Cette thèse est consacrée à l'étude d'une classe d'équations différentielles à retard dépendant de l'état – ces équations provenant d'un modèle structuré en taille. La… (more)

▼

Cette thèse est consacrée à l'étude d'une classe d'équations différentielles à retard dépendant de l'état – ces équations provenant d'un modèle structuré en taille. La principale motivation de cette thèse provient de la volonté d'ajuster les paramètres du système d'équations étudiées vis-à-vis des données générées par un simulateur de forêts, appelé SORTIE. Deux types de forêts sont étudiés ici: d'une part une forêt ne comportant qu'une seule espèce d'arbre, et d'autre part une forêt comportant deux espèces d'arbres (au chapitre 2). Les simulations numériques du système d'équations correspondent relativement bien aux données générées par SORTIE, ce qui montre que le système considéré peut être utilisé afin d'écrire la dynamique de populations d'une forêt. De plus, un modèle plus étendu prenant en compte la position spatiale des arbres est proposé dans le chapitre 2, dans le cas de forêts possédant deux espèces d'arbres. Les simulations numériques de ce modèle permettent de visualiser la propagation spatiale des forêts. Les chapitres 3 et 4 se concentrent sur l'analyse mathématique des équations différentielles à retard considérées. Les propriétés du semi-flot associé au système sont étudiées au chapitre 3, où l'on démontre en particulier que ce semi-flot n'est pas continu en temps. Le caractère dissipatif et borné du semi-flot, pour des modèles de forêts comportant une ou deux espèces d'arbres, est étudié dans le chapitre 4. En outre, afin d'étudier la dynamique de population d'une forêt (d'une seule espèce d'arbre) après l'introduction d'un parasite, nous construisons dans le chapitre 5 un système proie-prédateur dont la proie (à savoir la forêt) est modélisée par le système d'équations différentielles à retard dépendant de l'état étudié auparavant, et dont le prédateur (à savoir le parasite) est modélisé par une équation différentielle ordinaire. De nombreuses simulations numériques associées à différents scénarios sont faites, afin d'explorer le comportement complexe des solutions du au couplage proie-prédateur et les équations à retard dépendant de l'état.

This thesis is devoted to the studies of a class of state-dependent delay differential equations. This class of equations is derived from a size-structured model.The motivation comes from the parameter fittings of this system to a forest simulator called SORTIE. Cases of both single species forest and two-species forest are considered in Chapter 2. The numerical simulations of the system correspond relatively very well to the forest data generated by SORTIE, which shows that this system is able to be used to describe the population dynamics of forests. Moreover, an extended model considering the spatial positions of trees is also proposed in Chapter 2 for the two-species forest case. From the numerical simulations of this spatial model one can see the diffusion of forests in space. Chapter 3 and 4 focus on the mathematical analysis of the state-dependent delay differential equations. The properties of semiflow generated by this system are studied in Chapter…

Advisors/Committee Members: Magal, Pierre (thesis director).

Subjects/Keywords: Équation différentielle à retard dépendant de l'état; Semi-flot; Bornage des solutions; Dissipativité; Dynamique des populations; Système proie-prédateur; State-dependent delay differential equation; Semiflow; Boundedness of solutions; Dissipativity; Forest population dynamics; Predator-prey system

Record Details Similar Records Cite « Share

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Zhang, Z. (2018). A class of state-dependent delay differential equations and applications to forest growth : Études d'une classe d'équations à retard dépendant de l'état et application à la croissance de forêts. (Doctoral Dissertation). Bordeaux. Retrieved from http://www.theses.fr/2018BORD0062

Chicago Manual of Style (16^th Edition):

Zhang, Zhengyang. “A class of state-dependent delay differential equations and applications to forest growth : Études d'une classe d'équations à retard dépendant de l'état et application à la croissance de forêts.” 2018. Doctoral Dissertation, Bordeaux. Accessed April 19, 2021. http://www.theses.fr/2018BORD0062.

MLA Handbook (7^th Edition):

Zhang, Zhengyang. “A class of state-dependent delay differential equations and applications to forest growth : Études d'une classe d'équations à retard dépendant de l'état et application à la croissance de forêts.” 2018. Web. 19 Apr 2021.

Vancouver:

Zhang Z. A class of state-dependent delay differential equations and applications to forest growth : Études d'une classe d'équations à retard dépendant de l'état et application à la croissance de forêts. [Internet] [Doctoral dissertation]. Bordeaux; 2018. [cited 2021 Apr 19]. Available from: http://www.theses.fr/2018BORD0062.

Council of Science Editors:

Zhang Z. A class of state-dependent delay differential equations and applications to forest growth : Études d'une classe d'équations à retard dépendant de l'état et application à la croissance de forêts. [Doctoral Dissertation]. Bordeaux; 2018. Available from: http://www.theses.fr/2018BORD0062

21. Korniienko, Anton. Réseau de PLLs distribuées pour synthèse automatique d'horloge de MPSOCs synchrones : Distributed PLL network for automatic clock synthesis of synchronous MPSOCs.

Degree: Docteur es, Informatique Automatique, 2011, Ecully, Ecole centrale de Lyon

URL: http://www.theses.fr/2011ECDL0040

► Les arbres classiques de distribution du signal d’horloge au sein des microprocesseurs synchrones présentent un certain nombre de limitations : skew, jitter, limitation de la… (more)

▼ Les arbres classiques de distribution du signal d’horloge au sein des microprocesseurs synchrones présentent un certain nombre de limitations : skew, jitter, limitation de la fréquence, influence de perturbations et de dispersions quelles que soient leurs natures. Ces facteurs, critiques pour les microprocesseurs modernes complexes, sont devenus la raison principale qui a poussé à la recherche d’autres types d’architecture de génération et de distribution du signal d’horloge. Un exemple d’un tel système alternatif est le réseau de PLLs couplées, où les PLLs sont géographiquement distribuées sur la puce, et génèrent des signaux d’horloge locaux qui sont ensuite synchronisés, en temps réel, par un échange d’information entre les PLLs voisines et une rétroaction locale réalisé par leur correcteurs. La nature active du réseau de PLLs de génération et de distribution du signal d’horloge, qui peut permettre de surpasser les limitations mentionnées plus tôt, oblige à sortir du cadre classique des outils et des méthodes de la Microélectronique habituellement appliqués à l’étude et à la conception de ce type de systèmes. En effet, les aspects dynamiques de bouclage et de transformation de signaux au sein de tels systèmes complexes rendent leur conception extrêmement difficile voire parfois impossible. La difficulté principale consiste en un changement des propriétés d’un sous-système local indépendant par rapport aux propriétés du même sous-système faisant partie du réseau. Effectivement, il existe beaucoup de méthodes et d’outils de conception d’une PLL isolée garantissant un comportement et des propriétés locales désirés. Néanmoins, ces propriétés désirées locales, selon la topologie d’interconnexion considérée, ne sont pas forcément conservées quand il s’agit d’un réseau de PLLs interconnectées et de son comportement global. Le but principal de cette thèse est ainsi de développer une méthode de synthèse de la loi de commande décentralisée réalisée au sein de chaque sous-système (tel qu’une PLL) assurant le comportement désiré pour le réseau global. Une méthode de transformation du problème de synthèse globale en un problème équivalent de synthèse d’une loi de commande locale est proposée en se basant sur l’hypothèse des sous-systèmes identiques interconnectés en réseau. Le lien entre les propriétés locales et globales est établi grâce aux approches d’Automatique avancée telles que les approches entrée-sortie et la dissipativité. Ce choix de méthode permet non seulement de réduire considérablement la complexité du problème initial mais aussi de ramener le problème de synthèse à une forme proche des méthodes de conception locale utilisées en Microélectronique, ce qui garantit une continuité logique de leur évolution. Ensuite la méthode proposée est combinée avec la commande H∞ et l’optimisation sous contraintes LMIs conduisant au développement d’algorithmes efficaces de résolution du problème posé. Elles sont à la fois particulièrement bien adaptées à l’application considérée, c’est-à-dire à la synchronisation d’un réseau de… Advisors/Committee Members: Scorletti, Gérard (thesis director), Blanco, Éric (thesis director), Colinet, Eric (thesis director).

Subjects/Keywords: Systèmes en réseau; Système multi-agents; Commande décentralisée; Commande H∞; Dissipativité; Optimisation LMI; Conception du réseau de PLLs; Synchronisation; Distribution active du signal d'horloge; Networked systems; Multi-agents systems; Decentralized control; H∞ control; Dissipativity; LMI optimization; PLL network design; Synchronization; Active clock distribution

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Korniienko, A. (2011). Réseau de PLLs distribuées pour synthèse automatique d'horloge de MPSOCs synchrones : Distributed PLL network for automatic clock synthesis of synchronous MPSOCs. (Doctoral Dissertation). Ecully, Ecole centrale de Lyon. Retrieved from http://www.theses.fr/2011ECDL0040

Chicago Manual of Style (16^th Edition):

Korniienko, Anton. “Réseau de PLLs distribuées pour synthèse automatique d'horloge de MPSOCs synchrones : Distributed PLL network for automatic clock synthesis of synchronous MPSOCs.” 2011. Doctoral Dissertation, Ecully, Ecole centrale de Lyon. Accessed April 19, 2021. http://www.theses.fr/2011ECDL0040.

MLA Handbook (7^th Edition):

Korniienko, Anton. “Réseau de PLLs distribuées pour synthèse automatique d'horloge de MPSOCs synchrones : Distributed PLL network for automatic clock synthesis of synchronous MPSOCs.” 2011. Web. 19 Apr 2021.

Vancouver:

Korniienko A. Réseau de PLLs distribuées pour synthèse automatique d'horloge de MPSOCs synchrones : Distributed PLL network for automatic clock synthesis of synchronous MPSOCs. [Internet] [Doctoral dissertation]. Ecully, Ecole centrale de Lyon; 2011. [cited 2021 Apr 19]. Available from: http://www.theses.fr/2011ECDL0040.

Council of Science Editors:

Korniienko A. Réseau de PLLs distribuées pour synthèse automatique d'horloge de MPSOCs synchrones : Distributed PLL network for automatic clock synthesis of synchronous MPSOCs. [Doctoral Dissertation]. Ecully, Ecole centrale de Lyon; 2011. Available from: http://www.theses.fr/2011ECDL0040

University of Oxford

22. Prescott, Thomas Paul. Large-scale layered systems and synthetic biology : model reduction and decomposition.

Degree: PhD, 2014, University of Oxford

URL: http://ora.ox.ac.uk/objects/uuid:205a18fb-b21f-4148-ba7d-3238f4b1f25b ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.655068

► This thesis is concerned with large-scale systems of Ordinary Differential Equations that model Biomolecular Reaction Networks (BRNs) in Systems and Synthetic Biology. It addresses the… (more)

▼ This thesis is concerned with large-scale systems of Ordinary Differential Equations that model Biomolecular Reaction Networks (BRNs) in Systems and Synthetic Biology. It addresses the strategies of model reduction and decomposition used to overcome the challenges posed by the high dimension and stiffness typical of these models. A number of developments of these strategies are identified, and their implementation on various BRN models is demonstrated. The goal of model reduction is to construct a simplified ODE system to closely approximate a large-scale system. The error estimation problem seeks to quantify the approximation error; this is an example of the trajectory comparison problem. The first part of this thesis applies semi-definite programming (SDP) and dissipativity theory to this problem, producing a single a priori upper bound on the difference between two models in the presence of parameter uncertainty and for a range of initial conditions, for which exhaustive simulation is impractical. The second part of this thesis is concerned with the BRN decomposition problem of expressing a network as an interconnection of subnetworks. A novel framework, called layered decomposition, is introduced and compared with established modular techniques. Fundamental properties of layered decompositions are investigated, providing basic criteria for choosing an appropriate layered decomposition. Further aspects of the layering framework are considered: we illustrate the relationship between decomposition and scale separation by constructing singularly perturbed BRN models using layered decomposition; and we reveal the inter-layer signal propagation structure by decomposing the steady state response to parametric perturbations. Finally, we consider the large-scale SDP problem, where large scale SDP techniques fail to certify a system’s dissipativity. We describe the framework of Structured Storage Functions (SSF), defined where systems admit a cascaded decomposition, and demonstrate a significant resulting speed-up of large-scale dissipativity problems, with applications to the trajectory comparison technique discussed above.

Subjects/Keywords: 572; Computational biochemistry; Biology and other natural sciences (mathematics); Mathematical biology; Ordinary differential equations; Mathematical modeling (engineering); Control engineering; Systems biology; Synthetic biology; Model reduction; Model decomposition; Layering; Dissipativity; Storage Functions; Timescale Separation; Singular Perturbation; Biochemical Reaction Networks

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APA (6^th Edition):

Prescott, T. P. (2014). Large-scale layered systems and synthetic biology : model reduction and decomposition. (Doctoral Dissertation). University of Oxford. Retrieved from http://ora.ox.ac.uk/objects/uuid:205a18fb-b21f-4148-ba7d-3238f4b1f25b ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.655068

Chicago Manual of Style (16^th Edition):

Prescott, Thomas Paul. “Large-scale layered systems and synthetic biology : model reduction and decomposition.” 2014. Doctoral Dissertation, University of Oxford. Accessed April 19, 2021. http://ora.ox.ac.uk/objects/uuid:205a18fb-b21f-4148-ba7d-3238f4b1f25b ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.655068.

MLA Handbook (7^th Edition):

Prescott, Thomas Paul. “Large-scale layered systems and synthetic biology : model reduction and decomposition.” 2014. Web. 19 Apr 2021.

Vancouver:

Prescott TP. Large-scale layered systems and synthetic biology : model reduction and decomposition. [Internet] [Doctoral dissertation]. University of Oxford; 2014. [cited 2021 Apr 19]. Available from: http://ora.ox.ac.uk/objects/uuid:205a18fb-b21f-4148-ba7d-3238f4b1f25b ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.655068.

Council of Science Editors:

Prescott TP. Large-scale layered systems and synthetic biology : model reduction and decomposition. [Doctoral Dissertation]. University of Oxford; 2014. Available from: http://ora.ox.ac.uk/objects/uuid:205a18fb-b21f-4148-ba7d-3238f4b1f25b ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.655068

23. Perodou, Arthur. Frequency design of passive electronic filters : a modern system approach : Synthèse fréquentielle de filtres électroniques passifs : une approche systémique moderne.

Degree: Docteur es, Automatique, 2019, Lyon

URL: http://www.theses.fr/2019LYSEC046

► L’explosion actuelle du nombre d’appareils connectés (smartphones, drones, IoT, …) et du volume des données à transmettre engendre une croissance exponentielle du nombre de bandes… (more)

▼ L’explosion actuelle du nombre d’appareils connectés (smartphones, drones, IoT, …) et du volume des données à transmettre engendre une croissance exponentielle du nombre de bandes radiofréquences. Toutes les solutions élaborées pour faire face à cette demande croissante, telle que l’agrégation de porteuses, impliquent de concevoir des filtres fréquentiels satisfaisant des contraintes (performance, consommation d’énergie, coût, …) toujours plus strictes. Les filtres passifs AW, pour acoustic wave (AW) en anglais, semblant être les seuls pouvant satisfaire ces contraintes. Cependant, face à l’augmentation drastique de la complexité de leur problème de conception, les méthodes traditionnelles de conception apparaissent limitées. Il devient donc nécessaire de développer de nouvelles méthodes, qui soient systématiques et efficaces d’un point de vue algorithmique. Le problème de synthèse des filtres AW est une instance du problème de synthèse de filtres électroniques passifs, intrinsèquement lié aux origines de la théorie des Systèmes linéaires et de l’Automatique. Des méthodes systématiques ont été développées pour des cas particuliers, tels que les filtres LC-échelle, mais n’incluent pas les filtres AW. Notre but est donc de les revisiter et de les généraliser en utilisant une approche systémique moderne, afin d’obtenir une méthodologie systématique et efficace de conception de filtres électroniques passifs, avec un intérêt particulier pour les filtres AW. Pour ce faire, le paradigme de l’optimisation convexe, et particulièrement la sous-classe nommée optimisation LMI, nous paraît être un candidat naturel. Doté de solveurs efficaces, il permet de résoudre un large éventail de problèmes d’ingénierie en un faible temps de calcul. Afin de relier notre problème de conception à cet environnement, il est proposé d’utiliser des outils modernes tels que la représentation LFT et la caractérisation mathématique dite de dissipativité. Historiquement, deux approches de conception se sont opposées. La première consiste à faire varier les valeurs caractéristiques des composants jusqu’à satisfaction du gabarit fréquentiel. Bien que flexible et proche de la formulation originelle du problème, cette approche aboutit typiquement à un problème d’optimisation complexe. Notre première contribution est d’avoir révélé les sources de cette complexité ainsi que de les avoir considérablement réduites, en introduisant une représentation originale qui résulte de la combinaison de l’outil LFT et du formalisme des Systèmes Hamiltoniens à Ports. Un algorithme résolvant séquentiellement des problèmes LMIs est proposé, possédant un taux de convergence raisonnable si le point initial est bien choisi. La seconde approche se compose de deux étapes. Une fonction de transfert est d’abord synthétisée de façon à satisfaire le gabarit fréquentiel. Cette étape correspond à un problème classique d’Automatique et de Traitement du Signal qui peut être efficacement résolu via l’optimisation LMI. Puis, cette fonction de transfert est réalisée comme un circuit avec… Advisors/Committee Members: O'Connor, Ian (thesis director), Scorletti, Gérard (thesis director), Korniienko, Anton (thesis director), Zarudniev, Mykhailo (thesis director), David, Jean-Baptiste (thesis director).

Subjects/Keywords: Synthèse Filtres Fréquentiels; Systèmes LFT; Eléments Passifs; Dissipativité; Lemme KYP; Factorisation Spectrale; Optimisation LMI; Systèmes Hamiltoniens à Ports; Equations Différentielles-Algébriques (EDA); Résonateurs à onde acoustique; Frequency Filter Design; LFT systems; Passive elements; Dissipativity; KYP Lemma; Spectral Factorisation; LMI optimisation; Port-Hamiltonian systems; Differential-Algebraic Equations (DAE); Acoustic Wave (AW) resonators

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Perodou, A. (2019). Frequency design of passive electronic filters : a modern system approach : Synthèse fréquentielle de filtres électroniques passifs : une approche systémique moderne. (Doctoral Dissertation). Lyon. Retrieved from http://www.theses.fr/2019LYSEC046

Chicago Manual of Style (16^th Edition):

Perodou, Arthur. “Frequency design of passive electronic filters : a modern system approach : Synthèse fréquentielle de filtres électroniques passifs : une approche systémique moderne.” 2019. Doctoral Dissertation, Lyon. Accessed April 19, 2021. http://www.theses.fr/2019LYSEC046.

MLA Handbook (7^th Edition):

Perodou, Arthur. “Frequency design of passive electronic filters : a modern system approach : Synthèse fréquentielle de filtres électroniques passifs : une approche systémique moderne.” 2019. Web. 19 Apr 2021.

Vancouver:

Perodou A. Frequency design of passive electronic filters : a modern system approach : Synthèse fréquentielle de filtres électroniques passifs : une approche systémique moderne. [Internet] [Doctoral dissertation]. Lyon; 2019. [cited 2021 Apr 19]. Available from: http://www.theses.fr/2019LYSEC046.

Council of Science Editors:

Perodou A. Frequency design of passive electronic filters : a modern system approach : Synthèse fréquentielle de filtres électroniques passifs : une approche systémique moderne. [Doctoral Dissertation]. Lyon; 2019. Available from: http://www.theses.fr/2019LYSEC046

24. Sadikhov, Teymur. Stability, dissipativity, and optimal control of discontinuous dynamical systems.

Degree: Aerospace Engineering, 2015, Georgia Tech

URL: http://hdl.handle.net/1853/53635

► Discontinuous dynamical systems and multiagent systems are encountered in numerous engineering applications. This dissertation develops stability and dissipativity of nonlinear dynamical systems with discontinuous right-hand… (more)

▼ Discontinuous dynamical systems and multiagent systems are encountered in numerous engineering applications. This dissertation develops stability and dissipativity of nonlinear dynamical systems with discontinuous right-hand sides, optimality of discontinuous feed-back controllers for Filippov dynamical systems, almost consensus protocols for multiagent systems with innaccurate sensor measurements, and adaptive estimation algorithms using multiagent network identifiers. In particular, we present stability results for discontinuous dynamical systems using nonsmooth Lyapunov theory. Then, we develop a constructive feedback control law for discontinuous dynamical systems based on the existence of a nonsmooth control Lyapunov function de fined in the sense of generalized Clarke gradients and set-valued Lie derivatives. Furthermore, we develop dissipativity notions and extended Kalman-Yakubovich-Popov conditions and apply these results to develop feedback interconnection stability results for discontinuous systems. In addition, we derive guaranteed gain, sector, and disk margins for nonlinear optimal and inverse optimal discontinuous feedback regulators that minimize a nonlinear-nonquadratic performance functional for Filippov dynamical systems. Then, we provide connections between dissipativity and optimality of nonlinear discontinuous controllers for Filippov dynamical systems. Furthermore, we address the consensus problem for a group of agent robots with uncertain interagent measurement data, and show that the agents reach an almost consensus state and converge to a set centered at the centroid of agents initial locations. Finally, we develop an adaptive estimation framework predicated on multiagent network identifiers with undirected and directed graph topologies that identifies the system state and plant parameters online. Advisors/Committee Members: Haddad, Wassim (advisor), Feron, Eric (committee member), Egerstedt, Magnus (committee member), Prasad, J. V. R. (committee member), Holzinger, Marcus (committee member).

Subjects/Keywords: Multiagent systems; Optimality; Dissipativity; Universal controller; Adaptive estimation; Sensor uncertainty; Set-valued analysis; Set-valued maps; Nonsmooth systems

…numerous engineering applications. This dissertation develops stability and dissipativity of… …derivatives. Furthermore, we develop dissipativity notions and extended Kalman-Yakubovich-Popov… …between dissipativity and optimality of nonlinear discontinuous controllers for Filippov… …Lie derivatives. Furthermore, we develop dissipativity notions for dynamical systems with… …conditions, in terms of the discontinxii uous system dynamics, characterizing dissipativity via…

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Sadikhov, T. (2015). Stability, dissipativity, and optimal control of discontinuous dynamical systems. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/53635

Chicago Manual of Style (16^th Edition):

Sadikhov, Teymur. “Stability, dissipativity, and optimal control of discontinuous dynamical systems.” 2015. Doctoral Dissertation, Georgia Tech. Accessed April 19, 2021. http://hdl.handle.net/1853/53635.

MLA Handbook (7^th Edition):

Sadikhov, Teymur. “Stability, dissipativity, and optimal control of discontinuous dynamical systems.” 2015. Web. 19 Apr 2021.

Vancouver:

Sadikhov T. Stability, dissipativity, and optimal control of discontinuous dynamical systems. [Internet] [Doctoral dissertation]. Georgia Tech; 2015. [cited 2021 Apr 19]. Available from: http://hdl.handle.net/1853/53635.

Council of Science Editors:

Sadikhov T. Stability, dissipativity, and optimal control of discontinuous dynamical systems. [Doctoral Dissertation]. Georgia Tech; 2015. Available from: http://hdl.handle.net/1853/53635

25. Zarudniev, Mykhailo. Synthèse de fréquence par couplage d'oscillateurs spintroniques : Fluorescence diffuse optical tomography : benefits of using the time-resolved modality.

Degree: Docteur es, Automatique, 2013, Ecully, Ecole centrale de Lyon

URL: http://www.theses.fr/2013ECDL0001

► La tendance actuelle dans le domaine des télécommunications mène à des systèmes capables de fonctionner selon plusieurs standards, et donc plusieurs fréquences porteuses. La synthèse… (more)

▼ La tendance actuelle dans le domaine des télécommunications mène à des systèmes capables de fonctionner selon plusieurs standards, et donc plusieurs fréquences porteuses. La synthèse de la fréquence porteuse est un élément clef, dont les propriétés reposent essentiellement sur les performances de l’oscillateur employé. Pour assurer le fonctionnement de systèmes compatibles avec plusieurs standards de télécommunication, la solution conventionnelle consiste à intégrer plusieurs oscillateurs locaux. Cette solution est coûteuse, d’autant plus que, malgré le fait que les technologies actuelles atteignent des niveaux d’intégration très importants, la surface occupée par des oscillateurs traditionnels de type LC ne peut pas être diminuée, alors que le coût de fabrication au millimètre carré devient de plus en plus élevé. Il serait donc très intéressant de remplacer les oscillateurs LC, ce qui nous amène à rechercher des solutions alternatives parmi de nouvelles technologies. L’oscillateur spintronique (STO) est un nouveau dispositif issu des études sur les couches minces magnétiques. Il apparait comme un candidat potentiel de remplacement des oscillateurs LC du fait de sa grande accordabilité en fréquence et de son faible encombrement. Toutefois des mesures effectuées sur les STOs ont montré que la performance en puissance et en bruit de phase d’un oscillateur seul ne permet pas de remplir les spécifications pour des applications de télécommunication. Nous proposons de remplir ces spécifications en couplant un nombre d’oscillateurs spintroniques important. Dans ce cadre se posent plusieurs questions qui concernent les procédures de modélisation, d’analyse et de synthèse des systèmes interconnectés. Les procédures de modélisation incluent la démarche de recherche de modèles à complexité croissante qui décrivent les propriétés entrée-sortie d’un oscillateur spintronique, ainsi que la démarche de généralisation des modèles des oscillateurs dans le cadre du réseau. Les procédures d’analyse cherchent à vérifier la stabilité et évaluer la performance des systèmes interconnectés. Les procédures de synthèse permettent de concevoir des interconnexions sophistiquées pour les oscillateurs afin d’assurer toutes les spécifications du cahier des charges. Dans ce document, nous établissons tout d’abord le problème de la synthèse de fréquence par couplage avec un cahier des charges formalisé en termes de gabarits fréquentiels sur des densités spectrales de puissance. Le cahier des charges posé amène la nécessité de modéliser l’oscillateur spintronique pour pouvoir simuler et analyser son comportement. Ici, nous proposons une modélisation originale selon des degrés de complexité croissante. Ensuite, nous discutons de la structure de la commande de l’ensemble des oscillateurs afin de remplir les spécifications du cahier des charges. La structure de commande proposée nécessite de développer une méthode de conception des interconnexions du réseau d’après les critères de performance. Dans les deux derniers chapitres, nous proposons deux… Advisors/Committee Members: Scorletti, Gérard (thesis director), Villard, Patrick (thesis director).

Subjects/Keywords: Dissipativité; Optimisation LMI; Approche entrée-sortie; Oscillateur à transfert de spin; EDO; Système non-linéaire; Système LTI; Architecture de réseaux; Synthèse d'interconnexions; Approximation de gabarits fréquentiels; Equation de Landau-Lifshitz-Gilbert-Slonzcewski; Factorisation spectrale; Dissipativity; Optimisation LMI; Input-output approach; Spin torque oscillator; ODE; Non-linear system; LTI system; Network architecture; Interconnection synthesis; Frequency domain constraints; Landau-Lifchitz-Gilbert-Slozcewski equation; Spectral factorization

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Zarudniev, M. (2013). Synthèse de fréquence par couplage d'oscillateurs spintroniques : Fluorescence diffuse optical tomography : benefits of using the time-resolved modality. (Doctoral Dissertation). Ecully, Ecole centrale de Lyon. Retrieved from http://www.theses.fr/2013ECDL0001

Chicago Manual of Style (16^th Edition):

Zarudniev, Mykhailo. “Synthèse de fréquence par couplage d'oscillateurs spintroniques : Fluorescence diffuse optical tomography : benefits of using the time-resolved modality.” 2013. Doctoral Dissertation, Ecully, Ecole centrale de Lyon. Accessed April 19, 2021. http://www.theses.fr/2013ECDL0001.

MLA Handbook (7^th Edition):

Zarudniev, Mykhailo. “Synthèse de fréquence par couplage d'oscillateurs spintroniques : Fluorescence diffuse optical tomography : benefits of using the time-resolved modality.” 2013. Web. 19 Apr 2021.

Vancouver:

Zarudniev M. Synthèse de fréquence par couplage d'oscillateurs spintroniques : Fluorescence diffuse optical tomography : benefits of using the time-resolved modality. [Internet] [Doctoral dissertation]. Ecully, Ecole centrale de Lyon; 2013. [cited 2021 Apr 19]. Available from: http://www.theses.fr/2013ECDL0001.

Council of Science Editors:

Zarudniev M. Synthèse de fréquence par couplage d'oscillateurs spintroniques : Fluorescence diffuse optical tomography : benefits of using the time-resolved modality. [Doctoral Dissertation]. Ecully, Ecole centrale de Lyon; 2013. Available from: http://www.theses.fr/2013ECDL0001

26. Rajpurohit, Tanmay. Stochastic nonlinear control: A unified framework for stability, dissipativity, and optimality.

Degree: PhD, Aerospace Engineering, 2018, Georgia Tech

URL: http://hdl.handle.net/1853/59856

► In this work, we develop connections between stochastic stability theory and stochastic optimal control. In particular, first we develop Lyapunov and converse Lyapunov theorems for… (more)

Subjects/Keywords: Stochastic dissipativity; Markov diffusion processes; Extended Kalman-Yakubovich-Popov conditions; Stochastic stability of feedback systems; Stochastic semistability; Lyapunov theory; Converse Lyapunov theorems; Stochastic finite-time stability; Partial stochastic stability; Finite-time stabilization; Partial-state stabilization; Lyapunov differential inequalities; Stochastic optimal control; Stochastic Hamilton-Jacobi-Bellman theory; Time-varying systems; Stochastic differential games; Inverse optimal control; Stochastic Hamilton-Jacobi-Isaacs equation; Polynomial cost functions; Multilinear forms

…dissertation, we present a unified framework for stability, dissipativity, and optimality for… …develop stochastic dissipativity theory for nonlinear dynamical systems using basic input-output… …and state properties. Specifically, a stochastic version of dissipativity xiii using both… …dissipativity of stochastic dynamical systems using two-times continuously differentiable storage… …the system state. Dissipativity theory is a systemtheoretic concept that provides a powerful…

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Rajpurohit, T. (2018). Stochastic nonlinear control: A unified framework for stability, dissipativity, and optimality. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/59856

Chicago Manual of Style (16^th Edition):

Rajpurohit, Tanmay. “Stochastic nonlinear control: A unified framework for stability, dissipativity, and optimality.” 2018. Doctoral Dissertation, Georgia Tech. Accessed April 19, 2021. http://hdl.handle.net/1853/59856.

MLA Handbook (7^th Edition):

Rajpurohit, Tanmay. “Stochastic nonlinear control: A unified framework for stability, dissipativity, and optimality.” 2018. Web. 19 Apr 2021.

Vancouver:

Rajpurohit T. Stochastic nonlinear control: A unified framework for stability, dissipativity, and optimality. [Internet] [Doctoral dissertation]. Georgia Tech; 2018. [cited 2021 Apr 19]. Available from: http://hdl.handle.net/1853/59856.

Council of Science Editors:

Rajpurohit T. Stochastic nonlinear control: A unified framework for stability, dissipativity, and optimality. [Doctoral Dissertation]. Georgia Tech; 2018. Available from: http://hdl.handle.net/1853/59856

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Open Access Theses and Dissertations