Turnpike Properties in the Calculus of Variations and Optimal Control / Edition 1

Turnpike Properties in the Calculus of Variations and Optimal Control / Edition 1

by Alexander Zaslavski
     
 

ISBN-10: 038728155X

ISBN-13: 9780387281551

Pub. Date: 08/25/2005

Publisher: Springer US

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

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Overview

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.

Product Details

ISBN-13:
9780387281551
Publisher:
Springer US
Publication date:
08/25/2005
Series:
Nonconvex Optimization and Its Applications (closed) Series, #80
Edition description:
2006
Pages:
396
Product dimensions:
6.10(w) x 9.25(h) x 0.04(d)

Table of Contents

1Infinite horizon variational problems1
2Extremals of nonautonomous problems33
3Extremals of autonomous problems71
4Infinite horizon autonomous problems115
5Turnpike for autonomous problems153
6Linear periodic control systems173
7Linear systems with nonperiodic integrands197
8Discrete-time control systems223
9Control problems in Hilbert spaces257
10A class of differential inclusions283
11Convex processes321
12A dynamic zero-sum game349

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