Turnpike properties in the calculus of variations and optimal control

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 proc...

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Detalhes bibliográficos
Autor principal: Zaslavski, Alexander J.
Formato: Livre numérique
Idioma:Anglais
Publicado em: New York, NY : Springer US [20..].
Cham : Springer Nature
Edição:1st ed. 2006.
coleção:Nonconvex Optimization and Its Applications 80
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Nota: Description d'après consultation du 29 avril 2011
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Turnpike Properties in the Calculus of Variations and Optimal Control, Texte imprimé, 9780387508801
• Turnpike Properties in the Calculus of Variations and Optimal Control, Texte imprimé, 9781441939241
• Turnpike Properties in the Calculus of Variations and Optimal Control, Texte imprimé, 9780387281551
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504 |a Bibliogr. p. [386]-394. Index 
505 1 |a 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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520 |a 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. Audience This book is intended for mathematicians interested in optimal control, calculus of variations, game theory and mathematical economics 
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650 |a Théorie de la commande 
650 |a Optimisation mathématique 
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