subject:(puiseux series)

University of Illinois – Chicago

1. Bliss, Nathan R. Computing Series Expansions of Algebraic Space Curves.

Degree: 2018, University of Illinois – Chicago

► We work towards a series-based computational approach for polynomial systems having positive-dimensional solution sets. The tropical variety gives information on the exponents of the leading… (more)

Subjects/Keywords: computational algebraic geometry; puiseux series; gauss-newton algorithm; tropical geometry; polynomial systems; homotopy continuation

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APA (6^th Edition):

Bliss, N. R. (2018). Computing Series Expansions of Algebraic Space Curves. (Thesis). University of Illinois – Chicago. Retrieved from http://hdl.handle.net/10027/22682

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):

Bliss, Nathan R. “Computing Series Expansions of Algebraic Space Curves.” 2018. Thesis, University of Illinois – Chicago. Accessed January 18, 2021. http://hdl.handle.net/10027/22682.

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

MLA Handbook (7^th Edition):

Bliss, Nathan R. “Computing Series Expansions of Algebraic Space Curves.” 2018. Web. 18 Jan 2021.

Vancouver:

Bliss NR. Computing Series Expansions of Algebraic Space Curves. [Internet] [Thesis]. University of Illinois – Chicago; 2018. [cited 2021 Jan 18]. Available from: http://hdl.handle.net/10027/22682.

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

Council of Science Editors:

Bliss NR. Computing Series Expansions of Algebraic Space Curves. [Thesis]. University of Illinois – Chicago; 2018. Available from: http://hdl.handle.net/10027/22682

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

Université Paris-Sud – Paris XI

2. Mendez Barrios, César. Low-Order Controllers for Time-Delay Systems : an Analytical Approach : Contrôleur d'ordre réduit pour des systèmes à retard : une approche analytique.

Degree: Docteur es, Physique, 2011, Université Paris-Sud – Paris XI

URL: http://www.theses.fr/2011PA112124

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Les travaux de recherche présentés dans cette thèse concernent des contributions à l’étude de stabilité des systèmes linéaires à retards avec contrôleurs d’ordre réduit. Cette… (more)

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Les travaux de recherche présentés dans cette thèse concernent des contributions à l’étude de stabilité des systèmes linéaires à retards avec contrôleurs d’ordre réduit. Cette mémoire est partagée en trois parties.La première partie est axée sur l’étude des systèmes linéaires à retard mono-entré /mono-sortie, bouclées avec un contrôleur de type PID. Inspiré par l’approche géométrique développée par Gu et al. Nous avons proposé une méthode analytique pour trouver la région (ou les régions) de tous les contrôleurs de type PID stabilisant pour le système à retard. Basée sur cette même approche, on a développé un algorithme pour calculer le dégrée de fragilité d’un contrôleur donné de type PID (PI, PD et PID).La deuxième partie de la thèse est axée sur l’étude de stabilité sous une approche NCS (pour son acronyme en anglais : Networked Control System). Plus précisément, nous avons d’abord étudié le problème de la stabilisation en tenant compte des retards induit par le réseau et les effets induits par la période d’échantillonnages. Pour mener une telle analyse nous avons adopté une approche basée sur la théorie des perturbations. Finalement, dans la troisième partie de la thèse nous abordons certains problèmes concernant le comportement des zéros d’une certaine classe de systèmes échantillonnés mono-entré /mono-sortie. Plus précisément, étant donné un système à temps continu, on obtient les intervalles d’échantillonnage garantissant l’invariance du nombre de zéros instables dans chaque intervalle. Pour développer cette analyse, nous adoptons une approche basée sur la perturbation aux valeurs propres.

The research work presented in this thesis concern to the stability analysis of linear time-delay systems with low-order controllers. This thesis is divided into three parts.The first part of the thesis focus on the study of linear SISO (single-input/single-output) systems with input/output delays, where the feedback loop is closed with a controller of PID-type. Inspired by the geometrical approach developed by Gu et al. we propose an analytical method to find the stability regions of all stabilizing controllers of PID-type for the time-delay system. Based on this same approach, we propose an algorithm to calculate the degree of fragility of a given controller of PID- type (PI, PD and PID).The second part of the thesis focuses on the stability analysis of linear systems under an NCS (Networked System Control) based approach. More precisely, we first focus in the stabilization problem by taking into account the induced network delays and the effects induced by the sampling period. To carry out such an analysis we have adopted an eigenvalue perturbation-based approach.Finally, in the third part of the thesis we tackle certain problems concerning to the behavior of the zeros of a certain class of sampled-data SISO systems. More precisely, given a continuous-time system, we obtain the sampling intervals guaranteeing the invariance of the number of unstable zeros in each interval. To perform such an analysis, we adopt an…

Advisors/Committee Members: Niculescu, Silviu-Iulian (thesis director).

Subjects/Keywords: Stabilité; Systèmes linéaires à retards; Théorie des perturbations; Séries de Puiseux; D-partition; Faisceaux matriciels; Stability; Linear time-delay systems; Eigenvalue perturbation; Puiseux series; D-partition; Matrix pencil

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

APA (6^th Edition):

Mendez Barrios, C. (2011). Low-Order Controllers for Time-Delay Systems : an Analytical Approach : Contrôleur d'ordre réduit pour des systèmes à retard : une approche analytique. (Doctoral Dissertation). Université Paris-Sud – Paris XI. Retrieved from http://www.theses.fr/2011PA112124

Chicago Manual of Style (16^th Edition):

Mendez Barrios, César. “Low-Order Controllers for Time-Delay Systems : an Analytical Approach : Contrôleur d'ordre réduit pour des systèmes à retard : une approche analytique.” 2011. Doctoral Dissertation, Université Paris-Sud – Paris XI. Accessed January 18, 2021. http://www.theses.fr/2011PA112124.

MLA Handbook (7^th Edition):

Mendez Barrios, César. “Low-Order Controllers for Time-Delay Systems : an Analytical Approach : Contrôleur d'ordre réduit pour des systèmes à retard : une approche analytique.” 2011. Web. 18 Jan 2021.

Vancouver:

Mendez Barrios C. Low-Order Controllers for Time-Delay Systems : an Analytical Approach : Contrôleur d'ordre réduit pour des systèmes à retard : une approche analytique. [Internet] [Doctoral dissertation]. Université Paris-Sud – Paris XI; 2011. [cited 2021 Jan 18]. Available from: http://www.theses.fr/2011PA112124.

Council of Science Editors:

Mendez Barrios C. Low-Order Controllers for Time-Delay Systems : an Analytical Approach : Contrôleur d'ordre réduit pour des systèmes à retard : une approche analytique. [Doctoral Dissertation]. Université Paris-Sud – Paris XI; 2011. Available from: http://www.theses.fr/2011PA112124

3. Adrovic, Danko. Solving Polynomial Systems With Tropical Methods.

Degree: 2013, University of Illinois – Chicago

URL: http://hdl.handle.net/10027/9735

► In this thesis, we develop a polyhedral method to solve polynomial systems. We are primarily interested in obtaining the Puiseux series representations of positive dimensional… (more)

Subjects/Keywords: Newton-Puiseux method; polyhedral homotopies; Puiseux series; tropism; initial forms; unimodular coordinate transformations; cyclic n-roots problem

…solve systems of polynomials. We are primarily interested in obtaining the Puiseux series… …plane curve. We then show how tropical methods lead to the Puiseux series of the common factor… …for the existence of the second term in the Puiseux series of the common factor. Our… …we consider general algebraic sets and how they lead to multivariate Puiseux series… …development of a (multivariate) Puiseux series expansions of positive dimensional…

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

APA (6^th Edition):

Adrovic, D. (2013). Solving Polynomial Systems With Tropical Methods. (Thesis). University of Illinois – Chicago. Retrieved from http://hdl.handle.net/10027/9735

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):

Adrovic, Danko. “Solving Polynomial Systems With Tropical Methods.” 2013. Thesis, University of Illinois – Chicago. Accessed January 18, 2021. http://hdl.handle.net/10027/9735.

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

MLA Handbook (7^th Edition):

Adrovic, Danko. “Solving Polynomial Systems With Tropical Methods.” 2013. Web. 18 Jan 2021.

Vancouver:

Adrovic D. Solving Polynomial Systems With Tropical Methods. [Internet] [Thesis]. University of Illinois – Chicago; 2013. [cited 2021 Jan 18]. Available from: http://hdl.handle.net/10027/9735.

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

Council of Science Editors:

Adrovic D. Solving Polynomial Systems With Tropical Methods. [Thesis]. University of Illinois – Chicago; 2013. Available from: http://hdl.handle.net/10027/9735

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

4. Thangavel, Vignesh. Cascaded Digital Refinement for Intrinsic Evolvable Hardware.

Degree: 2015, University of Central Florida

URL: https://stars.library.ucf.edu/etd/1185

► Intrinsic evolution of reconfigurable hardware is sought to solve computational problems using the intrinsic processing behavior of System-on-Chip (SoC) platforms. SoC devices combine capabilities of… (more)

Subjects/Keywords: Evolvable hardware; system on chip; genetic algorithm; universal digital block; puiseux series; Electrical and Computer Engineering; Electrical and Electronics; Engineering

…techniques of approximation of functions using variations of Laurent and Puiseux series to develop… …determine series expansion to approximate a solution function, it is desirable to determine…

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

APA (6^th Edition):

Thangavel, V. (2015). Cascaded Digital Refinement for Intrinsic Evolvable Hardware. (Masters Thesis). University of Central Florida. Retrieved from https://stars.library.ucf.edu/etd/1185

Chicago Manual of Style (16^th Edition):

Thangavel, Vignesh. “Cascaded Digital Refinement for Intrinsic Evolvable Hardware.” 2015. Masters Thesis, University of Central Florida. Accessed January 18, 2021. https://stars.library.ucf.edu/etd/1185.

MLA Handbook (7^th Edition):

Thangavel, Vignesh. “Cascaded Digital Refinement for Intrinsic Evolvable Hardware.” 2015. Web. 18 Jan 2021.

Vancouver:

Thangavel V. Cascaded Digital Refinement for Intrinsic Evolvable Hardware. [Internet] [Masters thesis]. University of Central Florida; 2015. [cited 2021 Jan 18]. Available from: https://stars.library.ucf.edu/etd/1185.

Council of Science Editors:

Thangavel V. Cascaded Digital Refinement for Intrinsic Evolvable Hardware. [Masters Thesis]. University of Central Florida; 2015. Available from: https://stars.library.ucf.edu/etd/1185

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