Title: Asymptotic Behavior of Dynamical and Control Systems under Pertubation and Discretization (Lecture Notes in Mathematics, 1783)
Publisher: Springer
Publication Date: 2002
Language: English
ISBN 10: 3540433910
ISBN 13: 9783540433910
Binding: Soft cover
Condition: New

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Synopsis

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.

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