04172nam 22006855 450 991059005170332120231201133743.03-031-07051-810.1007/978-3-031-07051-8(CKB)5850000000062333(MiAaPQ)EBC7078317(Au-PeEL)EBL7078317(OCoLC)1344541596(DE-He213)978-3-031-07051-8(PPN)264192915(EXLCZ)99585000000006233320220829d2022 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierSingular Linear-Quadratic Zero-Sum Differential Games and H∞ Control Problems Regularization Approach /by Valery Y. Glizer, Oleg Kelis1st ed. 2022.Cham :Springer International Publishing :Imprint: Birkhäuser,2022.1 online resource (0 pages)Static & Dynamic Game Theory: Foundations & Applications,2363-85243-031-07050-X Includes bibliographical references and index.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.Static & Dynamic Game Theory: Foundations & Applications,2363-8524Game theorySystem theoryControl theoryGame TheorySystems Theory, Control Jocs diferencialsthubTeoria de jocsthubTeoria de controlthubLlibres electrònicsthubGame theory.System theory.Control theory.Game Theory.Systems Theory, Control .Jocs diferencialsTeoria de jocsTeoria de control629.8312519.32Glizer Valery Y.846840Kelis OlegMiAaPQMiAaPQMiAaPQBOOK9910590051703321Singular Linear-Quadratic Zero-Sum Differential Games and H Control Problems2994196UNINA