Asymptotic Behavior of Dynamical and Control Systems Under Pertubation and Discretization

Grune, Lars

ISBN 10: 3540433910 / ISBN 13: 9783540433910

Editore: Springer 2002-04, 2002

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Codice articolo 6666-IUK-9783540433910

Dati bibliografici

• Titolo: Asymptotic Behavior of Dynamical and Control Systems Under Pertubation and Discretization
• Editore: Springer 2002-04
• Data di pubblicazione: 2002
• Lingua: Inglese
• ISBN 10: 3540433910
• ISBN 13: 9783540433910
• Rilegatura: PF
• Condizione: New

Descrizione articolo

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.

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.