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＜電子ブック＞
Asymptotic Behavior of Dynamical and Control Systems under Pertubation and Discretization / by Lars Grüne
(Lecture Notes in Mathematics. ISSN:16179692 ; 1783)

版	1st ed. 2002.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2002
本文言語	英語
大きさ	X, 238 p : online resource
著者標目	*Grüne, Lars author SpringerLink (Online service)
件　名	LCSH:Dynamical systems LCSH:System theory LCSH:Control theory LCSH:Numerical analysis LCSH:Mathematical optimization LCSH:Calculus of variations FREE:Dynamical Systems FREE:Systems Theory, Control FREE:Numerical Analysis FREE:Calculus of Variations and Optimization
一般注記	Dynamics, Perturbation and Discretization -- Setup and Preliminaries -- Strongly Attracting Sets -- Weakly Attracting Sets -- Relation between Discretization and Perturbation -- Discretizations of Attractive Sets -- Domains of Attraction -- Appendices. Viscosity Solutions. Comparison Functions. Numerical Examples This book provides an approach to the study of perturbation and discretization effects on the long-time behavior of dynamical and control systems. It analyzes the impact of time and space discretizations on asymptotically stable attracting sets, attractors, asumptotically controllable sets and their respective domains of attractions and reachable sets. Combining robust stability concepts from nonlinear control theory, techniques from optimal control and differential games and methods from nonsmooth analysis, both qualitative and quantitative results are obtained and new algorithms are developed, analyzed and illustrated by examples HTTP:URL=https://doi.org/10.1007/b83677

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