Singular Linear-Quadratic Zero-Sum Differential Games and H Control Problems: Regularization Approach

This monograph is dedicated to the analysis and solution of singular differential games and singular $H_{ inf}$ control problems in both finite- and infinite-horizon settings. It expands on the authors previous work and is the first to study these problems using the regularization approach. Solvability conditions are presented, and the authors solve singular finite-horizon and infinite-horizon linear-quadratic differential games and $H_{ inf}$ control problems using this method. The book includes theoretical and real-world examples and is organized for independent study or in succession. It will be of interest to researchers and engineers in applied mathematics, dynamic games, control engineering, and related fields.

Format: Hardback
Length: 206 pages
Publication date: 30 August 2022
Publisher: Birkhauser Verlag AG

This monograph is dedicated 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.

Weight: 494g
Dimension: 235 x 155 (mm)
ISBN-13: 9783031070501
Edition number: 1st ed. 2022