Analysis, Controllability and Optimization of Time-Discrete Systems and Dynamical Games

Werner Krabs

ISBN 10: 3540403272 / ISBN 13: 9783540403272

Editore: Springer Berlin Heidelberg Aug 2003, 2003

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This item is printed on demand - it takes 3-4 days longer - Neuware -Focuseson the analysis, optimization and controllability of time-discrete dynamical systems and games under the aspect of stability, controllability and (for games) cooperative and non-cooperative treatment. The investigation of stability is based on Lyapunov's method which is generalized to non-autonomous systems. Optimization and controllability of dynamical systems is treated, among others, with the aid of mapping theorems such as implicit function theorem and inverse mapping theorem. Dynamical games are treated as cooperative and non-cooperative games and are used in order to deal with the problem of carbon dioxide reduction under economic aspects. The theoretical results are demonstrated by various applications. 204 pp. Englisch.

Codice articolo 9783540403272

Dati bibliografici

• Titolo: Analysis, Controllability and Optimization of Time-Discrete Systems and Dynamical Games
• Editore: Springer Berlin Heidelberg Aug 2003
• Data di pubblicazione: 2003
• Lingua: Inglese
• ISBN 10: 3540403272
• ISBN 13: 9783540403272
• Rilegatura: Taschenbuch
• Condizione: Neu
• Dimensioni: 235 L x 155 A x 12 P (millimetri) 235 millimetri di larghezza per 155 millimetri di altezza per 12 millimetri di profondità
• Peso: 318 grammi

Descrizione articolo

Riassunto

Focuses on the analysis, optimization and controllability of time-discrete dynamical systems and games under the aspect of stability, controllability and (for games) cooperative and non-cooperative treatment. The investigation of stability is based on Lyapunov's method which is generalized to non-autonomous systems. Optimization and controllability of dynamical systems is treated, among others, with the aid of mapping theorems such as implicit function theorem and inverse mapping theorem. Dynamical games are treated as cooperative and non-cooperative games and are used in order to deal with the problem of carbon dioxide reduction under economic aspects. The theoretical results are demonstrated by various applications.

Contenuti

Uncontrolled Systems.- Controlled Systems.- Controllability and Optimization.- A.1 The Core of a Cooperative n-Person Game.- A.2 The Core of a Linear Production Game.- A.3 Weak Pareto Optima: Necessary and Sufficient Conditions.- A.4 Duality.- B Bibliographical Remarks.- References.- About the Authors.