Asymptotic behavior of dynamical and control systems under perturbation and discretization /
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...
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| Format: | eBook |
| Language: | English |
| Language Notes: | English. |
| Published: |
Berlin ; New York :
Springer,
[2002]
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| Series: | Lecture notes in mathematics (Springer-Verlag) ;
1783. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | 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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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (ix, 231 pages) : illustrations. |
| Bibliography: | Includes bibliographical references (pages [221]-227) and index. |
| ISBN: | 9783540367840 (electronic bk.) 3540367845 (electronic bk.) |
| ISSN: | 0075-8434 ; |