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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Bibliographic Information

Book Title: Asymptotic Behavior of Dynamical and Control Systems under Pertubation and Discretization
Authors: Lars Grüne
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/b83677
Publisher: Springer Berlin, Heidelberg
eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 2002
Softcover ISBN: 978-3-540-43391-0Published: 01 April 2002
eBook ISBN: 978-3-540-36784-0Published: 19 October 2004
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: X, 238
Topics: Dynamical Systems and Ergodic Theory, Systems Theory, Control, Numerical Analysis, Calculus of Variations and Optimal Control; Optimization

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Table of contents (13 chapters)

Front Matter

Back Matter

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