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＜電子ブック＞
Singular Linear-Quadratic Zero-Sum Differential Games and H∞ Control Problems : Regularization Approach / by Valery Y. Glizer, Oleg Kelis
(Static & Dynamic Game Theory: Foundations & Applications. ISSN:23638524)

版	1st ed. 2022.
出版者	(Cham : Springer International Publishing : Imprint: Birkhäuser)
出版年	2022
本文言語	英語
大きさ	X, 206 p. 3 illus., 1 illus. in color : online resource
著者標目	*Glizer, Valery Y author Kelis, Oleg author SpringerLink (Online service)
件　名	LCSH:Game theory LCSH:System theory LCSH:Control theory FREE:Game Theory FREE:Systems Theory, Control
一般注記	Introduction -- Examples of Singular Extremal Problems and Some Basic Notions -- Preliminaries -- Singular Finite-Horizon Zero-Sum Differential Game -- Singular Infinite-Horizon Zero-Sum Differential Game -- Singular Finite-Horizon $H_{\inf}$ Problem -- Singular Infinite-Horizon $H_{\inf}$ Problem 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 HTTP:URL=https://doi.org/10.1007/978-3-031-07051-8

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