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- catalog abstract "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.".
- catalog contributor b12560757.
- catalog created "c2002.".
- catalog date "2002".
- catalog date "c2002.".
- catalog dateCopyrighted "c2002.".
- catalog description "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.".
- catalog description "Includes bibliographical references (p. [221]-227) and index.".
- catalog description "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.".
- catalog extent "ix, 231 p. :".
- catalog hasFormat "Also available in an electronic version.".
- catalog identifier "3540433910 (acid-free paper)".
- catalog isFormatOf "Also available in an electronic version.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1783.".
- catalog isPartOf "Lecture notes in mathematics, 0075-8434 ; 1783".
- catalog issued "2002".
- catalog issued "c2002.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer,".
- catalog relation "Also available in an electronic version.".
- catalog subject "510 s 514/.74 21".
- catalog subject "Asymptotic expansions.".
- catalog subject "Attractors (Mathematics)".
- catalog subject "Differentiable dynamical systems.".
- catalog subject "Mathematical optimization.".
- catalog subject "Mathematics.".
- catalog subject "Numerical analysis.".
- catalog subject "Perturbation (Mathematics)".
- catalog subject "QA3 .L28 no. 1783 QA614.813".
- catalog subject "Systems theory.".
- catalog tableOfContents "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.".
- catalog title "Asymptotic behavior of dynamical and control systems under perturbation and discretization / Lars Grüne.".
- catalog type "Computer network resources. local".
- catalog type "Electronic books. lcsh".
- catalog type "text".