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020 _a9780817649104
_99780817649104
024 7 _a10.1007/9780817649104
_2doi
035 _avtls000333672
039 9 _a201509030803
_bVLOAD
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040 _aMX-SnUAN
_bspa
_cMX-SnUAN
_erda
100 1 _aAubin, Jean-Pierre.
_eautor
_9305602
245 1 0 _aViability Theory /
_cby Jean-Pierre Aubin.
264 1 _aBoston :
_bBirkhäuser Boston,
_c2009.
300 _axxv, 545 páginas
_brecurso en línea.
336 _atexto
_btxt
_2rdacontent
337 _acomputadora
_bc
_2rdamedia
338 _arecurso en línea
_bcr
_2rdacarrier
347 _aarchivo de texto
_bPDF
_2rda
490 0 _aModern Birkhäuser Classics
500 _aSpringer eBooks
505 0 _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.
520 _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
590 _aPara consulta fuera de la UANL se requiere clave de acceso remoto.
710 2 _aSpringerLink (Servicio en línea)
_9299170
776 0 8 _iEdición impresa:
_z9780817649098
856 4 0 _uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-0-8176-4910-4
_zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
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