Asymptotic Behavior of Dynamical and Control Systems under Pertubation and Discretization: 1783 - Brossura

Gr¿¿ne, Lars

Brossura

ISBN 10: 3540433910 ISBN 13: 9783540433910

Casa editrice: Springer, 2008

Riassunto

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.

Su questo libro

Contenuti

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.

Product Description

Book by Grne Lars

Dettagli dell?edizione

• Editore: Springer
• Data di pubblicazione: 2008
• Lingua: Inglese
• ISBN 10: 3540433910
• ISBN 13: 9783540433910
• Rilegatura: Copertina flessibile
• Numero di pagine: 244
• Contatto del produttore: {language_tag:it_IT,value:"Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com"}