Asymptotic Behavior of Dynamical and Control Systems under Pertubation and Discretization

von Lars Grüne

238 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Lecture Notes in Mathematics
• ISBN: 9783540433910
• Sprache: Englisch
• Erscheinungsdatum: 01.04.2002
• Genre: Mathematik/Analysis
• Verlag: Springer Berlin