Asymptotic Behavior of Dynamical and Control Systems under Pertubation and Discretization
Author:   Lars Grüne
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Edition:   2002 ed.
Volume:   1783
ISBN:  

9783540433910


Pages:   238
Publication Date:   01 April 2002
Format:   Paperback
Availability:   In Print   Availability explained
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Asymptotic Behavior of Dynamical and Control Systems under Pertubation and Discretization


Overview

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.

Full Product Details

Author:   Lars Grüne
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   2002 ed.
Volume:   1783
Dimensions:   Width: 16.00cm , Height: 1.30cm , Length: 24.00cm
Weight:   0.780kg
ISBN:  

9783540433910


ISBN 10:   3540433910
Pages:   238
Publication Date:   01 April 2002
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

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.

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