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Turnpike Properties in the Calculus of Variations and Optimal Control PDF

407 Pages·2006·1.807 MB·English
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by Alexander J. Zaslavski| 2006| 407 pages| 1.807| English

About 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 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.

Detailed Information

Author:Alexander J. Zaslavski
Publication Year:2006
ISBN:387281541
Pages:407
Language:English
File Size:1.807
Format:PDF
Price:FREE
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