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Titlebook: Viability Theory; Jean-Pierre Aubin Book 20091st edition Springer Science+Business Media New York 2009 Nonlinear system.Optimization Metho

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發(fā)表于 2025-3-21 20:07:47 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Viability Theory
編輯Jean-Pierre Aubin
視頻videohttp://file.papertrans.cn/983/982726/982726.mp4
概述An affordable new softcover edition of a classic text.Wide scope makes the book an ideal reference for anyone encountering problems related to viability theory in their research.Essentially self-conta
叢書名稱Modern Birkh?user Classics
圖書封面Titlebook: Viability Theory;  Jean-Pierre Aubin Book 20091st edition Springer Science+Business Media New York 2009 Nonlinear system.Optimization Metho
描述.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 p
出版日期Book 20091st edition
關(guān)鍵詞Nonlinear system; Optimization Methods; Stochastic Differential Equations; Tracking; artificial intellig
版次1
doihttps://doi.org/10.1007/978-0-8176-4910-4
isbn_ebook978-0-8176-4910-4Series ISSN 2197-1803 Series E-ISSN 2197-1811
issn_series 2197-1803
copyrightSpringer Science+Business Media New York 2009
The information of publication is updating

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發(fā)表于 2025-3-21 22:45:55 | 只看該作者
https://doi.org/10.1007/978-0-8176-4910-4Nonlinear system; Optimization Methods; Stochastic Differential Equations; Tracking; artificial intellig
板凳
發(fā)表于 2025-3-22 03:51:28 | 只看該作者
Outline of the Book,Instead of beginning with viability theorems for differential inclusions, we prefer to sketch in Chapter 1 the role of the concept of viability domain in the much simpler case of differential equations. (The first viability theorem was proved in 1942 by Nagumo.)
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Smooth and Heavy Viable Solutions,Let us still consider the problem of regulating a control system. where .where . : . → . associates with each state . the set .(.) of feasible controls (in general state-dependent) and . : Graph(.) ? . describes the dynamics of the system.
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