LEADER 04176nam 22006735 450 001 9910590051703321 005 20231201133743.0 010 $a3-031-07051-8 024 7 $a10.1007/978-3-031-07051-8 035 $a(CKB)5850000000062333 035 $a(MiAaPQ)EBC7078317 035 $a(Au-PeEL)EBL7078317 035 $a(OCoLC)1344541596 035 $a(DE-He213)978-3-031-07051-8 035 $a(PPN)264192915 035 $a(EXLCZ)995850000000062333 100 $a20220829d2022 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aSingular Linear-Quadratic Zero-Sum Differential Games and H? Control Problems$b[electronic resource] $eRegularization Approach /$fby Valery Y. Glizer, Oleg Kelis 205 $a1st ed. 2022. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2022. 215 $a1 online resource (0 pages) 225 1 $aStatic & Dynamic Game Theory: Foundations & Applications,$x2363-8524 311 $a3-031-07050-X 320 $aIncludes bibliographical references and index. 327 $aIntroduction -- Examples of Singular Extremal Problems and Some Basic Notions -- Preliminaries -- Singular Finite-Horizon Zero-Sum Di?erential Game -- Singular In?nite-Horizon Zero-Sum Di?erential Game -- Singular Finite-Horizon $H_{\inf}$ Problem -- Singular In?nite-Horizon $H_{\inf}$ Problem. 330 $aThis 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. 410 0$aStatic & Dynamic Game Theory: Foundations & Applications,$x2363-8524 606 $aGame theory 606 $aSystem theory 606 $aControl theory 606 $aGame Theory 606 $aSystems Theory, Control 606 $aJocs diferencials$2thub 606 $aTeoria de jocs$2thub 606 $aTeoria de control$2thub 608 $aLlibres electrònics$2thub 615 0$aGame theory. 615 0$aSystem theory. 615 0$aControl theory. 615 14$aGame Theory. 615 24$aSystems Theory, Control . 615 7$aJocs diferencials 615 7$aTeoria de jocs 615 7$aTeoria de control 676 $a629.8312 700 $aGlizer$b Valery Y.$0846840 702 $aKelis$b Oleg 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910590051703321 996 $aSingular Linear-Quadratic Zero-Sum Differential Games and H Control Problems$92994196 997 $aUNINA