LEADER 00451oam 2200181z- 450 001 9910901862603321 010 $a3-85448-062-8 035 $a(CKB)5670000001010647 035 $a(EXLCZ)995670000001010647 100 $a20250716c2024uuuu -u- - 101 0 $aeng 200 10$aConvivia Filth 210 $cTU Wien Academic Press 311 08$a3-85448-061-X 906 $aBOOK 912 $a9910901862603321 996 $aConvivia Filth$94273589 997 $aUNINA LEADER 04126nam 22005895 450 001 9911018759503321 005 20250806171549.0 010 $a9783031774966$b(electronic bk.) 010 $z9783031774959 024 7 $a10.1007/978-3-031-77496-6 035 $a(MiAaPQ)EBC32256216 035 $a(Au-PeEL)EBL32256216 035 $a(CKB)40138173300041 035 $a(DE-He213)978-3-031-77496-6 035 $a(EXLCZ)9940138173300041 100 $a20250806d2025 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aGeneralized Homogeneity in Systems and Control Volume II $eInfinite-Dimensional Systems /$fby Andrey Polyakov 205 $a2nd ed. 2025. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2025. 215 $a1 online resource (711 pages) 225 1 $aCommunications and Control Engineering,$x2197-7119 311 08$aPrint version: Polyakov, Andrey Generalized Homogeneity in Systems and Control Volume II Cham : Springer,c2025 9783031774959 327 $aChapter 1. Introduction to Abstract Homogeneity -- Chapter 2. Abstract Differential Equations -- Chapter 3. Lyapunov Methods for Abstract Differential Equations -- Chapter 4. Linear Dilations in Abstract Spaces -- Chapter 5. Infinite-Dimensional Homogeneous Mappings -- Chapter 6. Analysis of Infinite-Dimensional Homogeneous Systems -- Chapter 7. Discretization of Infinite-Dimensional Homogeneous Systems -- Chapter 8. Homogeneous Stabilization of Infinite-Dimensional Systems. 330 $aThe second edition of Generalized Homogeneity in Systems and Control is an introduction to the theory of homogeneous systems, useful for the simplification of many types of nonlinear control problem. It propounds methods that can be employed when linearization proves unsuitable and provides a unified approach to stability and robustness analysis, control and observer design, and system discretization. The second edition splits the coverage of homogeneity, allowing expanded coverage of finite-dimensional systems (in Volume I) and infinite-dimensional systems (in this book). The results are better systematized and easier for readers to study and assimilate. Generalized Homogeneity in Systems and Control Volume II (second edition) moves from stability analysis to the design of controllers for various systems. Key features of the book include: mathematical models of dynamical systems in infinite-dimensional spaces; the theory of linear dilations in Banach and Hilbert spaces (including Lebesgue and Sobolev spaces); abstract differential equations with homogeneous operators (including differential operators); rewritten, reorganized chapters with the addition of substantial new material; robustness analysis of infinite-dimensional homogeneous systems; homogeneous control in a Hilbert space; and consistent discretization of homogeneous systems. Illustrative examples ? numerical results, computer simulations and real experiments ? support all the theoretical material. The coverage of infinite-dimensional systems presented in this book will be of interest to graduate students of control theory and applied mathematics and academic researchers in control. 410 0$aCommunications and Control Engineering,$x2197-7119 606 $aAutomatic control 606 $aSystem theory 606 $aControl theory 606 $aEngineering mathematics 606 $aControl and Systems Theory 606 $aSystems Theory, Control 606 $aEngineering Mathematics 615 0$aAutomatic control. 615 0$aSystem theory. 615 0$aControl theory. 615 0$aEngineering mathematics. 615 14$aControl and Systems Theory. 615 24$aSystems Theory, Control. 615 24$aEngineering Mathematics. 676 $a629.8 700 $aPolyakov$b Andrey$0721255 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 912 $a9911018759503321 996 $aGeneralized Homogeneity in Systems and Control Volume II$94415491 997 $aUNINA