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100   $a20200205d2020      u|         0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aGeneralized Homogeneity in Systems and Control /$fby Andrey Polyakov
205   $a1st ed. 2020.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2020.
215   $a1 online resource (454 pages)
225 1 $aCommunications and Control Engineering,$x0178-5354
311   $a3-030-38448-9 
327   $aChapter 1. Introduction -- Part I: Models of Control Systems and Stability Analysis -- Chapter 2. Finite-Dimensional Models -- Chapter 3. In?nite-Dimensional Models -- Chapter 4. Stability and Convergence Rate -- Chapter 5. Method of Lyapunov Functions -- Part II: Homogeneous Control Systems -- Chapter 6. Dilation Groups in Banach, Hilbert and Euclidean Spaces -- Chapter 7. Homogeneous Mappings -- Chapter 8. Analysis of Homogeneous Dynamical Systems -- Chapter 9. Homogeneous Stabilization -- Chapter 10. Consistent Discretization of Homogeneous Models -- Chapter 11. Homogeneous State Estimation -- Chapter 12. Homogeneous Optimal Control -- Appendix -- Index.
330   $aThis monograph introduces the theory of generalized homogeneous systems governed by differential equations in both Euclidean (finite-dimensional) and Banach/Hilbert (infinite-dimensional) spaces. It develops methods of stability and robustness analysis, control design, state estimation and discretization of homogeneous control systems. Generalized Homogeneity in Systems and Control is structured in two parts. Part I discusses various models of control systems and related tools for their analysis, including Lyapunov functions. Part II deals with the analysis and design of homogeneous control systems. Some of the key features of the text include: mathematical models of dynamical systems in finite-dimensional and infinite-dimensional spaces; the theory of linear dilations in Banach spaces; homogeneous control and estimation; simple methods for an "upgrade" of existing linear control laws; numerical schemes for a consistent digital implementation of homogeneous algorithms; and experiments confirming an improvement of PID controllers. The advanced mathematical material will be of interest to researchers, mathematicians working in control theory and mathematically oriented control engineers.
410  0$aCommunications and Control Engineering,$x0178-5354
606   $aAutomatic control
606   $aSystem theory
606   $aEngineering mathematics
606   $aControl and Systems Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/T19010
606   $aSystems Theory, Control$3https://scigraph.springernature.com/ontologies/product-market-codes/M13070
606   $aEngineering Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/T11030
615  0$aAutomatic control.
615  0$aSystem theory.
615  0$aEngineering mathematics.
615 14$aControl and Systems Theory.
615 24$aSystems Theory, Control.
615 24$aEngineering Mathematics.
676   $a629.8312
700   $aPolyakov$b Andrey$4aut$4http://id.loc.gov/vocabulary/relators/aut$0721255
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910483555003321
996   $aGeneralized Homogeneity in Systems and Control$92853112
997   $aUNINA