ENGLISH

Turnpike Properties in the Calculus of Variations and Optimal Control

By Alexander J. Zaslavski

Book information

Publisher
Springer US
Year
2006
ISBN
9780387281551, 038728155X, 9780387281544, 0387281541
DOI
10.1007/0-387-28154-1
Open Library ID
OL7445044M
Language
english
Format
PDF
Filesize
2 MB (1894399 bytes)
Series
Nonconvex Optimization and Its Applications 80
Edition
1
Pages
396\407
Library
kolxoz
Time added
2010-02-18 13:16:04
Calculus of Variations and Optimal Control; Optimi

Description

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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