Analysis, controllability and optimization of time-discrete systems and dynamical games

Werner Krabs, Stefan Wolfgang Pickl

198 pages, parution le 08/09/2003

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Résumé

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.

Uncontrolled Systems
- The Autonomous Case
- The Non-Autonomous Case

Controlled Systems
- The Autonomous Case
- The Non-Autonomous Case

Controllability and Optimization
- The Control Problem
- A Game Theoretical Solution
- Local Controllability
- An Emission Reduction Model
- Dynamical Method for Finding a Nash Equilibrium
- Evolution Matrix Games
- A general cooperative n-Person Cost-Game
- A Cooperative Treatment of an n-Person Cost-Game

Appendix
Bibliographical remarks
References
Index

L'auteur - Werner Krabs

Technical University of Darmstadt, Germany.

L'auteur - Stefan Wolfgang Pickl

Universität zu Köln, Germany.

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Werner Krabs, Stefan Wolfgang Pickl
Parution	08/09/2003
Nb. de pages	198
Format	15,5 x 23,5
Couverture	Broché
Poids	325g
Intérieur	Noir et Blanc
EAN13	9783540403272