UID:
almahu_9947921426002882
Format:
X, 238 p.
,
online resource.
ISBN:
9783540367840
Series Statement:
Lecture Notes in Mathematics, 1783
Content:
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.
Note:
Dynamics, Perturbation and Discretization -- Setup and Preliminaries -- Strongly Attracting Sets -- Weakly Attracting Sets -- Relation between Discretization and Perturbation -- Discretizations of Attractive Sets -- Domains of Attraction -- Appendices. Viscosity Solutions. Comparison Functions. Numerical Examples.
In:
Springer eBooks
Additional Edition:
Printed edition: ISBN 9783540433910
Language:
English
Subjects:
Mathematics
URL:
http://dx.doi.org/10.1007/b83677
URL:
Volltext
(URL des Erstveröffentlichers)
URL:
Volltext
(lizenzpflichtig)
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