Asymptotic Behavior of Dynamical and Control Systems under Pertubation and Discretization
Published on 19. October 2004
X, 238 pages
978-3-540-36784-0 (ISBN)
Description
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.
More details
Other editions
Additional editions
Lars Grüne
Asymptotic Behavior of Dynamical and Control Systems under Pertubation and Discretization
Book
04/2002
Springer
€48.10
Shipment within 10-15 days
Content
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.
