03807nam 22007575 450 99646665820331620200704232550.03-540-36784-510.1007/b83677(CKB)1000000000233252(SSID)ssj0000321453(PQKBManifestationID)12131816(PQKBTitleCode)TC0000321453(PQKBWorkID)10263435(PQKB)10653778(DE-He213)978-3-540-36784-0(MiAaPQ)EBC6304000(MiAaPQ)EBC5584965(Au-PeEL)EBL5584965(OCoLC)1066180585(PPN)155206753(EXLCZ)99100000000023325220121227d2002 u| 0engurnn|008mamaatxtccrAsymptotic Behavior of Dynamical and Control Systems under Pertubation and Discretization[electronic resource] /by Lars Grüne1st ed. 2002.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2002.1 online resource (X, 238 p.) Lecture Notes in Mathematics,0075-8434 ;1783Bibliographic Level Mode of Issuance: Monograph3-540-43391-0 Includes bibliographical references (pages [221]-227) and index.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.Lecture Notes in Mathematics,0075-8434 ;1783DynamicsErgodic theorySystem theoryNumerical analysisCalculus of variationsDynamical Systems and Ergodic Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M1204XSystems Theory, Controlhttps://scigraph.springernature.com/ontologies/product-market-codes/M13070Numerical Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M14050Calculus of Variations and Optimal Control; Optimizationhttps://scigraph.springernature.com/ontologies/product-market-codes/M26016Dynamics.Ergodic theory.System theory.Numerical analysis.Calculus of variations.Dynamical Systems and Ergodic Theory.Systems Theory, Control.Numerical Analysis.Calculus of Variations and Optimal Control; Optimization.514.74Grüne Larsauthttp://id.loc.gov/vocabulary/relators/aut66925MiAaPQMiAaPQMiAaPQBOOK996466658203316Asymptotic Behavior of Dynamical and Control Systems under Pertubation and Discretization2517586UNISA