03697nam a22004455i 4500001001800000003000900018005001700027007001500044008004100059020001800100020001900118024003500137100003300172245006900205264004200274300003400316336002600350337002600376338003600402347002400438490003300462505055900495520162501054650001702679650002902696650002602725650002002751650003302771650001702804650004602821650003702867650005602904650003802960650002902998710003403027773002003061776003603081830003303117856010103150978-0-8176-4910-4DE-He21320260521092032.0cr nn 008mamaa100301s2009    xxu|    s    |||| 0|eng d  a9780817649104  a997808176491047 a10.1007/978-0-8176-4910-42doi1 aAubin, Jean-Pierre.eauthor.10aViability Theoryh[electronic resource] /cby Jean-Pierre Aubin. 1aBoston :bBirkhäuser Boston,c2009.  aXXV, 545 p.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda1 aModern Birkhäuser Classics0 aOutline of the Book -- Viability Theorems for Ordinary and Stochastic Differential Equations -- Set-Valued Maps -- Viability Theorems for Differential Inclusions -- Viability Kernels and Exit Tubes -- Invariance Theorems for Differential Inclusions -- Regulation of Control Systems -- Smooth and Heavy Viable Solutions -- Partial Differential Inclusions of Tracking Problems -- Lyapunov Functions -- Miscellaneous Viability Issues -- Viability Tubes -- Functional Viability -- Viability Theorems for Partial Differential Inclusions -- Differential Games.  aThis 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 0aMATHEMATICS. 0aARTIFICIAL INTELLIGENCE. 0aBIOLOGYxMATHEMATICS. 0aSYSTEMS THEORY. 0aCONTROL ENGINEERING SYSTEMS.14aMATHEMATICS.24aARTIFICIAL INTELLIGENCE (INCL. ROBOTICS).24aMATHEMATICAL BIOLOGY IN GENERAL.24aGAME THEORY, ECONOMICS, SOCIAL AND BEHAV. SCIENCES.24aCONTROL , ROBOTICS, MECHATRONICS.24aSYSTEMS THEORY, CONTROL.2 aSpringerLink (Online service)0 tSpringer eBooks08iPrinted edition:z9780817649098 0aModern Birkhäuser Classics40uhttp://dx.doi.org/10.1007/978-0-8176-4910-4zVer el texto completo en las instalaciones del CICY