TY - BOOK ID - 8209080 TI - Viability Theory PY - 2009 SN - 0817635718 0817649093 9786612333163 128233316X 0817649107 3764335718 9780817635718 9783764335717 9780817649098 PB - Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, DB - UniCat KW - Differential inclusions. KW - Feedback control systems. KW - Set-valued maps. KW - Differential inclusions KW - Set-valued maps KW - Feedback control systems KW - Calculus KW - Mathematics KW - Physical Sciences & Mathematics KW - Feedback mechanisms KW - Feedback systems KW - Many-valued mappings KW - Mappings, Point-to-set KW - Maps, Set-valued KW - Multi-valued mappings KW - Multivalued mappings KW - Point-to-set mappings KW - Inclusions, Differential KW - Inclusions différentielles KW - Systèmes à réaction KW - Applications multivoques KW - Inclusions différentielles KW - Systèmes à réaction KW - Mathematics. KW - Artificial intelligence. KW - Game theory. KW - System theory. KW - Biomathematics. KW - Control engineering. KW - Robotics. KW - Mechatronics. KW - Systems Theory, Control. KW - Control, Robotics, Mechatronics. KW - Game Theory, Economics, Social and Behav. Sciences. KW - Mathematical and Computational Biology. KW - Artificial Intelligence (incl. Robotics). KW - Systems theory. KW - Artificial Intelligence. KW - Math KW - Science KW - AI (Artificial intelligence) KW - Artificial thinking KW - Electronic brains KW - Intellectronics KW - Intelligence, Artificial KW - Intelligent machines KW - Machine intelligence KW - Thinking, Artificial KW - Bionics KW - Cognitive science KW - Digital computer simulation KW - Electronic data processing KW - Logic machines KW - Machine theory KW - Self-organizing systems KW - Simulation methods KW - Fifth generation computers KW - Neural computers KW - Automation KW - Biology KW - Games, Theory of KW - Theory of games KW - Mathematical models KW - Mechanical engineering KW - Microelectronics KW - Microelectromechanical systems KW - Control engineering KW - Control equipment KW - Control theory KW - Engineering instruments KW - Programmable controllers KW - Systems, Theory of KW - Systems science KW - Philosophy UR - https://www.unicat.be/uniCat?func=search&query=sysid:8209080 AB - 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. ER -