Asymptotic Behavior of Dynamical and Control Systems under Pertubation and Discretization (Lecture Notes in Mathematics, 1783) (Volume 0)

Grüne, Lars

ISBN 10: 3540433910 / ISBN 13: 9783540433910

Published by Springer, 2002

About this Item

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Bibliographic Details

• Title: Asymptotic Behavior of Dynamical and Control Systems under Pertubation and Discretization (Lecture Notes in Mathematics, 1783) (Volume 0)
• Publisher: Springer
• Publication Date: 2002
• Language: English
• ISBN 10: 3540433910
• ISBN 13: 9783540433910
• Binding: Soft cover
• Condition: good

About this title

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.