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024 7 $a10.1007/b83677
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035   $a(DE-He213)978-3-540-36784-0
035   $a(MiAaPQ)EBC6304000
035   $a(MiAaPQ)EBC5584965
035   $a(Au-PeEL)EBL5584965
035   $a(OCoLC)1066180585
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100   $a20121227d2002      u|             0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aAsymptotic Behavior of Dynamical and Control Systems under Pertubation and Discretization$b[electronic resource] /$fby Lars Grüne
205   $a1st ed. 2002.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2002.
215   $a1 online resource (X, 238 p.) 
225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1783
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-540-43391-0 
320   $aIncludes bibliographical references (pages [221]-227) and index.
327   $aDynamics, 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.
330   $aThis book provides an approach to the study of perturbation and discretization effects on the long-time behavior of dynamical and control systems. It analyzes the impact of time and space discretizations on asymptotically stable attracting sets, attractors, asumptotically controllable sets and their respective domains of attractions and reachable sets. Combining robust stability concepts from nonlinear control theory, techniques from optimal control and differential games and methods from nonsmooth analysis, both qualitative and quantitative results are obtained and new algorithms are developed, analyzed and illustrated by examples.
410  0$aLecture Notes in Mathematics,$x0075-8434 ;$v1783
606   $aDynamics
606   $aErgodic theory
606   $aSystem theory
606   $aNumerical analysis
606   $aCalculus of variations
606   $aDynamical Systems and Ergodic Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M1204X
606   $aSystems Theory, Control$3https://scigraph.springernature.com/ontologies/product-market-codes/M13070
606   $aNumerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M14050
606   $aCalculus of Variations and Optimal Control; Optimization$3https://scigraph.springernature.com/ontologies/product-market-codes/M26016
615  0$aDynamics.
615  0$aErgodic theory.
615  0$aSystem theory.
615  0$aNumerical analysis.
615  0$aCalculus of variations.
615 14$aDynamical Systems and Ergodic Theory.
615 24$aSystems Theory, Control.
615 24$aNumerical Analysis.
615 24$aCalculus of Variations and Optimal Control; Optimization.
676   $a514.74
700   $aGrüne$b Lars$4aut$4http://id.loc.gov/vocabulary/relators/aut$066925
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a996466658203316
996   $aAsymptotic Behavior of Dynamical and Control Systems under Pertubation and Discretization$92517586
997   $aUNISA