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Turnpike Properties in the Calculus of Variations and Optimal Control: 80 (Nonconvex Optimization and Its Applications) - Softcover
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Infinite Horizon Variational Problems.- Extremals of Nonautonomous Problems.- Extremals of Autonomous Problems.- Infinite Horizon Autonomous Problems.- Turnpike for Autonomous Problems.- Linear Periodic Control Systems.- Linear Systems with Nonperiodic Integrands.- Discrete-Time Control Systems.- Control Problems in Hilbert Spaces.- A Class of Differential Inclusions.- Convex Processes.- A Dynamic Zero-Sum Game.
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This book is devoted to the recent progress on the turnpike theory. The turnpike property was discovered by Paul A. Samuelson, who applied it to problems in mathematical economics in 1949. These properties were studied for optimal trajectories of models of economic dynamics determined by convex processes. In this monograph the author, a leading expert in modern turnpike theory, presents a number of results concerning the turnpike properties in the calculus of variations and optimal control which were obtained in the last ten years. These results show that the turnpike properties form a general phenomenon which holds for various classes of variational problems and optimal control problems. The book should help to correct the misapprehension that turnpike properties are only special features of some narrow classes of convex problems of mathematical economics.
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This book is intended for mathematicians interested in optimal control, calculus of variations, game theory and mathematical economics.
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Turnpike Properties in the Calculus of Variations and Optimal Control
Print-on-DemandAnbieter: moluna, Greven, Deutschland
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Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Demonstrates that turnpike properties are common in much wider classes of problems than was traditionally thoughtInfinite Horizon Variational Problems.- Extremals of Nonautonomous Problems.- Extremals of Autonomous Problems.- Infinite Horizon Aut. Bestandsnummer des Verkäufers 4174291
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Turnpike Properties in the Calculus of Variations and Optimal Control
Print-on-DemandAnbieter: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Deutschland
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Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book is devoted to the recent progress on the turnpike theory. The turnpike property was discovered by Paul A. Samuelson, who applied it to problems in mathematical economics in 1949. These properties were studied for optimal trajectories of models of economic dynamics determined by convex processes. In this monograph the author, a leading expert in modern turnpike theory, presents a number of results concerning the turnpike properties in the calculus of variations and optimal control which were obtained in the last ten years. These results show that the turnpike properties form a general phenomenon which holds for various classes of variational problems and optimal control problems. The book should help to correct the misapprehension that turnpike properties are only special features of some narrow classes of convex problems of mathematical economics. AudienceThis book is intended for mathematicians interested in optimal control, calculus of variations, game theory and mathematical economics. 420 pp. Englisch. Bestandsnummer des Verkäufers 9781441939241
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Turnpike Properties in the Calculus of Variations and Optimal Control
Verlag:
Springer US, Springer US Nov 2010, 2010
ISBN 10: 1441939245
ISBN 13: 9781441939241
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Taschenbuch
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Taschenbuch. Zustand: Neu. This item is printed on demand - Print on Demand Titel. Neuware -This monograph is devoted to recent progress in the turnpike t- ory. Turnpike properties are well known in mathematical economics. The term was rst coined by Samuelson who showed that an e cient expanding economy would for most of the time be in the vicinity of a balanced equilibrium path (also called a von Neumann path) [78, 79]. These properties were studied by many authors for optimal trajec- ries of a Neumann¿Gale model determined by a superlinear set-valued mapping. In the monograph we discuss a number of results conce- ing turnpike properties in the calculus of variations and optimal control which were obtained by the author in the last ten years. These results showthattheturnpikepropertiesareageneralphenomenonwhichholds for various classes of variational problems and optimal control problems. Turnpike properties are studied for optimal control problems on- nite time intervals [T ,T ] of the real line. Solutions of such problems 1 2 (trajectories) always depend on the time interval [T ,T ], an optimality 1 2 criterion which is usually determined by a cost function, and on data which is some initial conditions. In the turnpike theory we are int- ested in the structure of solutions of optimal problems. We study the behavior of solutions when an optimality criterion is xed while T ,T 1 2 andthedatavary.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 420 pp. Englisch. Bestandsnummer des Verkäufers 9781441939241
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Turnpike Properties in the Calculus of Variations and Optimal Control
Anbieter: AHA-BUCH GmbH, Einbeck, Deutschland
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book is devoted to the recent progress on the turnpike theory. The turnpike property was discovered by Paul A. Samuelson, who applied it to problems in mathematical economics in 1949. These properties were studied for optimal trajectories of models of economic dynamics determined by convex processes. In this monograph the author, a leading expert in modern turnpike theory, presents a number of results concerning the turnpike properties in the calculus of variations and optimal control which were obtained in the last ten years. These results show that the turnpike properties form a general phenomenon which holds for various classes of variational problems and optimal control problems. The book should help to correct the misapprehension that turnpike properties are only special features of some narrow classes of convex problems of mathematical economics. AudienceThis book is intended for mathematicians interested in optimal control, calculus of variations, game theory and mathematical economics. Bestandsnummer des Verkäufers 9781441939241
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Turnpike Properties in the Calculus of Variations and Optimal Control (Nonconvex Optimization and Its Applications, 80)
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Turnpike Properties in the Calculus of Variations and Optimal Control
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Turnpike Properties in the Calculus of Variations and Optimal Control
Verlag:
Springer-Verlag New York Inc., 2010
ISBN 10: 1441939245
ISBN 13: 9781441939241
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Turnpike Properties in the Calculus of Variations and Optimal Control
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Zustand: New. PRINT ON DEMAND pp. 420. Bestandsnummer des Verkäufers 183099392
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Turnpike Properties in the Calculus of Variations and Optimal Control
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Turnpike Properties in the Calculus of Variations and Optimal Control
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Zustand: New. Print on Demand pp. 420 49:B&W 6.14 x 9.21 in or 234 x 156 mm (Royal 8vo) Perfect Bound on White w/Gloss Lam. Bestandsnummer des Verkäufers 5829845
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