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Asymptotic Behavior of Dynamical and Control Systems Under Pertubation and Discretization

Asymptotic Behavior of Dynamical and Control Systems Under Pertubation and Discretization

Paperback

Series: Lecture Notes in Mathematics, Book 1783

General Mathematics

ISBN10: 3540433910
ISBN13: 9783540433910
Publisher: Springer Nature
Published: Apr 1 2002
Pages: 238
Weight: 0.78
Height: 0.52 Width: 6.14 Depth: 9.21
Language: English
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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General Mathematics