Viability Theory

Jean-Pierre Aubin - Collection Modern Birkhäuser Classics

572 pages, parution le 01/05/2009

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Résumé

This work examines viability theory and its applications to control theory and differential games. The emphasis is on the construction of feedbacks and dynamical systems by myopic optimization methods. Systems of first-order partial differential inclusions, whose solutions are feedbacks, are constructed and investigated. Basic results are then extended to the case of fuzzy control problems, distributed control problems, and control systems with delays and memory.

Aimed at graduate students and research mathematicians, both pure and applied, this book offers specialists in control and nonlinear systems tools to take into account general state constraints. Viability theory also allows researchers in other disciplines-artificial intelligence, economics, game theory, theoretical biology, population genetics, cognitive sciences-to go beyond deterministic models by studying them in a dynamical or evolutionary perspective in an uncertain environment.

"The book is a compendium of the state of knowledge about viability...Mathematically, the book should be accessible to anyone who has had basic graduate courses in modern analysis and functional analysis...The concepts are defined and many proofs of the requisite results are reproduced here, making the present book essentially self-contained." (Bulletin of the AMS).

"Because of the wide scope, the book is an ideal reference for people encountering problems related to viability theory in their research...It gives a very thorough mathematical presentation. Very useful for anybody confronted with viability constraints." (Mededelingen van het Wiskundig Genootschap)

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Jean-Pierre Aubin
Collection	Modern Birkhäuser Classics
Parution	01/05/2009
Nb. de pages	572
Format	23 x 15
Couverture	Broché
Poids	819g
Intérieur	Noir et Blanc
EAN13	9780817649098
ISBN13	978-0-8176-4909-8