Singular Linear-Quadratic Zero-Sum Differential Games and H Control Problems - Regularization Approach (Hardcover, 1st ed. 2022)

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

General

Imprint:	Birkhauser Verlag AG
Country of origin:	Switzerland
Series:	Static & Dynamic Game Theory: Foundations & Applications
Release date:	August 2022
First published:	2022
Authors:	Valery Y. Glizer • Oleg Kelis
Dimensions:	235 x 155mm (L x W)
Format:	Hardcover
Pages:	206
Edition:	1st ed. 2022
ISBN-13:	978-3-03-107050-1
Categories:	Books > Reference & Interdisciplinary > Communication studies > Information theory > Cybernetics & systems theory Books > Science & Mathematics > Mathematics > Optimization > Game theory Promotions
LSN:	3-03-107050-X
Barcode:	9783031070501

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