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Asymptotic Behavior of Dynamical and Control Systems under Pertubation and Discretization
Lars Grüne
出版Springer, 2004-10-19
主題Mathematics / Mathematical AnalysisScience / System TheoryMathematics / Number SystemsMathematics / CalculusMathematics / Linear & Nonlinear ProgrammingLanguage Arts & Disciplines / Library & Information Science / GeneralMathematics / Numerical AnalysisMathematics / Functional Analysis
ISBN35403678459783540367840
URLhttp://books.google.com.hk/books?id=GOR7CwAAQBAJ&hl=&source=gbs_api
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註釋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.