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"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."
"Examines viability theory and its applications to control theory and differential games. This book emphasises the construction of feedbacks and dynamical systems by myopic optimization methods. It is suitable for graduate students and research mathematicians."
"Examines viability theory and its applications to control theory and differential games. This book emphasises the construction of feedbacks and dynamical systems by myopic optimization methods. It is suitable for graduate students and research mathematicians."@en
"Viability theory designs and develops mathematical and algorithmic methods for investigating the adaptation to viability constraints of evolutions governed by complex systems under uncertainty that are found in many domains involving living beings, from biological evolution to economics, from environmental sciences to financial markets, from control theory and robotics to cognitive sciences. It involves interdisciplinary investigations spanning fields that have traditionally developed in isolation. The purpose of this book is to present an initiation to applications of viability theory, explaining and motivating the main concepts and illustrating them with numerous numerical examples taken from various fields."
"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"
"Viability theory designs and develops mathematical and algorithmic methods for investigating the adaptation to viability constraints of evolutions governed by complex systems under uncertainty that are found in many domains involving living beings, from biological evolution to economics, from environmental sciences to financial markets, from control theory and robotics to cognitive sciences. It involves interdisciplinary investigations spanning fields that have traditionally developed in isolation. The purpose of this book is to present an initiation to applications of viability theory, explai."@en

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"Electronic books"@en

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"Viability theory"
"Viability theory"@en
"Viability Theory New Directions"
"Viability Theory New Directions"@en
"Viability Theory"
"Viability Theory"@en
"Viability theory : With 14 illustrations"
"Viability theory new directions"
"Viability theory new directions"@en
"Viability theory : new directions"
"Viability Theory : New Directions"

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