Asymptotic Behavior of Dynamical and Control Systems under Pertubation and Discretization [[electronic resource] /] / by Lars Grüne
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| Autore: |
Grüne Lars
|
| Titolo: |
Asymptotic Behavior of Dynamical and Control Systems under Pertubation and Discretization [[electronic resource] /] / by Lars Grüne
|
| Pubblicazione: | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2002 |
| Edizione: | 1st ed. 2002. |
| Descrizione fisica: | 1 online resource (X, 238 p.) |
| Disciplina: | 514.74 |
| Soggetto topico: | Dynamics |
| Ergodic theory | |
| System theory | |
| Numerical analysis | |
| Calculus of variations | |
| Dynamical Systems and Ergodic Theory | |
| Systems Theory, Control | |
| Numerical Analysis | |
| Calculus of Variations and Optimal Control; Optimization | |
| Note generali: | Bibliographic Level Mode of Issuance: Monograph |
| Nota di bibliografia: | Includes bibliographical references (pages [221]-227) and index. |
| Nota di contenuto: | 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. |
| Sommario/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. |
| Titolo autorizzato: | Asymptotic Behavior of Dynamical and Control Systems under Pertubation and Discretization |
| ISBN: | 3-540-36784-5 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 996466658203316 |
| Lo trovi qui: | Univ. di Salerno |
| Opac: | Controlla la disponibilità qui |
Serie:
Lecture Notes in Mathematics, . 0075-8434 ; ; 1783