Lecture Notes in Mathematics

Grüne, Lars

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.

Details

Published by: Springer

Publication Date: 2002-04-01

Format: Paperback

ISBN-13: 9783540433910

DOI: 10.1007/b83677

Dimensions: 240cm x160cm

Pages: 238