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Singular Linear-Quadratic Zero-Sum Differential Games and H∞ Control Problems: Regularization Approach (Static & Dynamic Game Theory: Foundations & Applications) - Tapa dura

 
9783031070501: Singular Linear-Quadratic Zero-Sum Differential Games and H∞ Control Problems: Regularization Approach (Static & Dynamic Game Theory: Foundations & Applications)

Sinopsis

This monograph is devoted to the analysis and solution of singular differential games and singular $H_{\inf}$ control problems in both finite- and infinite-horizon settings. Expanding on the authors' previous work in this area, this novel text is the first to study the aforementioned singular problems using the regularization approach. 

After a brief introduction, solvability conditions are presented for the regular differential games and $H_{\inf}$ control problems. In the following chapter, the authors solve the singular finite-horizon linear-quadratic differential game using the regularization method. Next, they apply this method to the solution of an infinite-horizon type. The last two chapters are dedicated to the solution of singular finite-horizon and infinite-horizon linear-quadratic $H_{\inf}$ control problems. The authors use theoretical and real-world examples to illustrate the results and their applicability throughout the text, and have carefully organized the content to be as self-contained as possible, making it possible to study each chapter independently or in succession. Each chapter includes its own introduction, list of notations, a brief literature review on the topic, and a corresponding bibliography. For easier readability, detailed proofs are presented in separate subsections.

Singular Linear-Quadratic Zero-Sum Differential Games and $H_{\inf}$ Control Problems will be of interest to researchers and engineers working in the areas of applied mathematics, dynamic games, control engineering, mechanical and aerospace engineering, electrical engineering, and biology. This book can also serve as a useful reference for graduate students in these area

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Acerca del autor

Valery Y. Glizer received his Ph.D. in mathematics and physics in 1980. From 2007-2020, he served as an Associate/Full Professor at the Department of Mathematics in the ORT Braude College of Engineering, Karmiel, Israel. Currently, Prof. Glizer serves as a researcher at The Galilee Research Center for Applied Mathematics, ORT Braude College of Engineering, Karmiel, Israel. His main areas of research are dynamic games, optimal control, robust control, singular perturbations, systems theory and time delay systems.
Oleg Kelis received his M.Sc. in mathematics (with highest honors) in 2008 and his Ph.D. in 2019. Currently Dr. Kelis serves as an adjunct lecturer at the Department of Mathematics, Ort Braude College of Engineering, Karmiel, Israel, and at the Faculty of Mathematics, Technion-Israel Institute of Technology, Haifa, Israel. His fields of research are differential games, optimal control, singularly perturbed problems.

De la contraportada

This monograph is devoted to the analysis and solution of singular differential games and singular $H_{\inf}$ control problems in both finite- and infinite-horizon settings. Expanding on the authors’ previous work in this area, this novel text is the first to study the aforementioned singular problems using the regularization approach. 

After a brief introduction, solvability conditions are presented for the regular differential games and $H_{\inf}$ control problems. In the following chapter, the authors solve the singular finite-horizon linear-quadratic differential game using the regularization method. Next, they apply this method to the solution of an infinite-horizon type. The last two chapters are dedicated to the solution of singular finite-horizon and infinite-horizon linear-quadratic $H_{\inf}$ control problems. The authors use theoretical and real-world examples to illustrate the results and their applicability throughout the text, and have carefully organized the content to be as self-contained as possible, making it possible to study each chapter independently or in succession. Each chapter includes its own introduction, list of notations, a brief literature review on the topic, and a corresponding bibliography. For easier readability, detailed proofs are presented in separate subsections.

Singular Linear-Quadratic Zero-Sum Differential Games and $H_{\inf}$ Control Problems will be of interest to researchers and engineers working in the areas of applied mathematics, dynamic games, control engineering, mechanical and aerospace engineering, electrical engineering, and biology. This book can also serve as a useful reference for graduate students in these areas.

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  • EditorialBirkhäuser
  • Año de publicación2022
  • ISBN 10 303107050X
  • ISBN 13 9783031070501
  • EncuadernaciónTapa dura
  • IdiomaInglés
  • Número de edición1
  • Número de páginas216
  • Contacto del fabricanteno disponible

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9783031070532: Singular Linear-Quadratic Zero-Sum Differential Games and H∞ Control Problems: Regularization Approach (Static & Dynamic Game Theory: Foundations & Applications)

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ISBN 10:  3031070534 ISBN 13:  9783031070532
Editorial: Birkhäuser, 2023
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Gebunden. Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This monograph is devoted to the analysis and solution of singular differential games and singular $H_{inf}$ control problems in both finite- and infinite-horizon settings. Expanding on the authors previous work in this area, this novel text is the first t. Nº de ref. del artículo: 585900047

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Buch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This monograph is devoted to the analysis and solution of singular differential games and singular $H_{inf}$ control problems in both finite- and infinite-horizon settings. Expanding on the authors' previous work in this area, this novel text is the first to study the aforementioned singular problems using the regularization approach.After a brief introduction, solvability conditions are presented for the regular differential games and $H_{inf}$control problems. In the following chapter, the authors solve the singular finite-horizon linear-quadratic differential game using the regularization method. Next, they apply this method to the solution of an infinite-horizon type. The last two chapters are dedicated to the solution of singular finite-horizon and infinite-horizon linear-quadratic $H_{inf}$control problems. The authors use theoretical and real-world examples to illustrate the results and their applicability throughout the text, and have carefully organized the content to be as self-contained as possible, making it possible to study each chapter independently or in succession. Each chapter includes its own introduction, list of notations, a brief literature review on the topic, and a corresponding bibliography. For easier readability, detailed proofs are presented in separate subsections.Singular Linear-Quadratic Zero-Sum Differential Games and$H_{inf}$Control Problemswill be of interest to researchers and engineers working in the areas of applied mathematics, dynamic games, control engineering, mechanical and aerospace engineering, electrical engineering, and biology. This book can also serve as a useful reference for graduate students in these area 216 pp. Englisch. Nº de ref. del artículo: 9783031070501

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Buch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - This monograph is devoted to the analysis and solution of singular differential games and singular $H_{inf}$ control problems in both finite- and infinite-horizon settings. Expanding on the authors' previous work in this area, this novel text is the first to study the aforementioned singular problems using the regularization approach.After a brief introduction, solvability conditions are presented for the regular differential games and $H_{inf}$control problems. In the following chapter, the authors solve the singular finite-horizon linear-quadratic differential game using the regularization method. Next, they apply this method to the solution of an infinite-horizon type. The last two chapters are dedicated to the solution of singular finite-horizon and infinite-horizon linear-quadratic $H_{inf}$control problems. The authors use theoretical and real-world examples to illustrate the results and their applicability throughout the text,and have carefully organized the content to be as self-contained as possible, making it possible to study each chapter independently or in succession. Each chapter includes its own introduction, list of notations, a brief literature review on the topic, and a corresponding bibliography. For easier readability, detailed proofs are presented in separate subsections.Singular Linear-Quadratic Zero-Sum Differential Games and$H_{inf}$Control Problemswill be of interest to researchers and engineers working in the areas of applied mathematics, dynamic games, control engineering, mechanical and aerospace engineering, electrical engineering, and biology. This book can also serve as a useful reference for graduate students in these area. Nº de ref. del artículo: 9783031070501

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Buch. Condición: Neu. Neuware -This monograph is devoted to the analysis and solution of singular differential games and singular $H_{inf}$ control problems in both finite- and infinite-horizon settings. Expanding on the authors¿ previous work in this area, this novel text is the first to study the aforementioned singular problems using the regularization approach.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 216 pp. Englisch. Nº de ref. del artículo: 9783031070501

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