Asymptotic Behavior of Dynamical and Control Systems under Pertubation 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...
Κύριος συγγραφέας: | |
---|---|
Συγγραφή απο Οργανισμό/Αρχή: | |
Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
Γλώσσα: | English |
Έκδοση: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2002.
|
Έκδοση: | 1st ed. 2002. |
Σειρά: | Lecture Notes in Mathematics,
1783 |
Θέματα: | |
Διαθέσιμο Online: | Full Text via HEAL-Link |
Περίληψη: | 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. |
---|---|
Φυσική περιγραφή: | X, 238 p. online resource. |
ISBN: | 9783540367840 |
ISSN: | 0075-8434 ; |
DOI: | 10.1007/b83677 |