Singular linear-quadratic zero-sum differential games and H [infinity symbol] control problems : regularization approach / Valery Y. Glizer, Oleg Kelis.
Glizer, Valery Y., author.; Kelis, Oleg, author.
2022
QA272
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Title Singular linear-quadratic zero-sum differential games and H [infinity symbol] control problems : regularization approach / Valery Y. Glizer, Oleg Kelis.
Author Glizer, Valery Y., author.
ISBN 9783031070518 (electronic bk.)
3031070518 (electronic bk.)
9783031070501
303107050X
DOI https://doi.org/10.1007/978-3-031-07051-8
Published Cham : Springer, [2022]
Copyright ©2022
Language English
Description 1 online resource (x, 206 pages) : illustrations (some color).
Item Number 10.1007/978-3-031-07051-8 doi
Call Number QA272
Dewey Decimal Classification 519.3/2
Summary This monograph is devoted to the analysis and solution of singular differential games and singular H [infinity symbol] 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 [infinity symbol] 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 [infinity symbol] 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 [infinity symbol] 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.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed September 12, 2022).
Added Author Kelis, Oleg, author.
Series Static & dynamic game theory.
Available in Other Form Singular linear-quadratic zero-sum differential games and H control problems.
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Introduction
Examples of Singular Extremal Problems and Some Basic Notions
Preliminaries
Singular Finite-Horizon Zero-Sum Dierential Game
Singular Innite-Horizon Zero-Sum Dierential Game
Singular Finite-Horizon H [infinity symbol] Problem
Singular Innite-Horizon H [infinity symbol] Problem.

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