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Singular Linear-Quadratic Zero-Sum Differential Games and H∞ Control Problems = Regularization Approach /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Singular Linear-Quadratic Zero-Sum Differential Games and H∞ Control Problems / by Valery Y. Glizer, Oleg Kelis.
Reminder of title:	Regularization Approach /
Author:	Glizer, Valery Y.
other author:	Kelis, Oleg.
Description:	X, 206 p. 3 illus., 1 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Game theory. -
Online resource:	https://doi.org/10.1007/978-3-031-07051-8
ISBN:	9783031070518

Singular Linear-Quadratic Zero-Sum Differential Games and H∞ Control Problems = Regularization Approach /
Glizer, Valery Y.

Singular Linear-Quadratic Zero-Sum Differential Games and H∞ Control Problems Regularization Approach /[electronic resource] :by Valery Y. Glizer, Oleg Kelis. - 1st ed. 2022. - X, 206 p. 3 illus., 1 illus. in color.online resource. - Static & Dynamic Game Theory: Foundations & Applications,2363-8524. - Static & Dynamic Game Theory: Foundations & Applications,.

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.

ISBN: 9783031070518

Standard No.: 10.1007/978-3-031-07051-8doiSubjects--Topical Terms:

556918
Game theory.

LC Class. No.: QA269-272

Dewey Class. No.: 519.3

Singular Linear-Quadratic Zero-Sum Differential Games and H∞ Control Problems = Regularization Approach /
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