Author	Grรผne, Lars. author
Title	Asymptotic Behavior of Dynamical and Control Systems under Perturbation and Discretization [electronic resource] / by Lars Grรผne
Imprint	Berlin, Heidelberg : Springer Berlin Heidelberg, 2002
Connect to	http://dx.doi.org/10.1007/b83677
Descript	X, 238 p. online resource

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

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

1. Mathematics
2. Dynamics
3. Ergodic theory
4. System theory
5. Numerical analysis
6. Calculus of variations
7. Mathematics
8. Dynamical Systems and Ergodic Theory
9. Systems Theory
10. Control
11. Numerical Analysis
12. Calculus of Variations and Optimal Control; Optimization