Asymptotic Behavior of Dynamical and Control Systems under Perturbation and Discretization
Lars GrüneThis 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.
類別:
年:
2002
版本:
1
出版商:
Springer-Verlag Berlin Heidelberg
語言:
english
頁數:
238
ISBN 10:
3540433910
ISBN 13:
9783540433910
系列:
Lecture Notes in Mathematics 1783
文件:
PDF, 1.52 MB
IPFS:
,
english, 2002