ENGLISH

Turnpike Properties in the Calculus of Variations and Optimal Control (Nonconvex Optimization and Its Applications)

By Alexander J. Zaslavski

Book information

Year
2005
ISBN
038728155X, 9780387281551, 9780387281544
LCC
QA316.Z37 2005
Open Library ID
OL7445044M
Language
english
Format
PDF
Filesize
2 MB (1767250 bytes)
Edition
1
Pages
417\407
Time added
2011-06-04 13:46:07

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.

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