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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 J. Zaslavski
 

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ISBN-10: 1441939245

ISBN-13: 9781441939241

Pub. Date: 11/23/2010

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

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.

Audience

This book is intended for mathematicians interested in optimal control, calculus of variations, game theory and mathematical economics.

Product Details

ISBN-13:
9781441939241
Publisher:
Springer US
Publication date:
11/23/2010
Series:
Nonconvex Optimization and Its Applications (closed) Series , #80
Edition description:
Softcover reprint of hardcover 1st ed. 2006
Pages:
396
Product dimensions:
6.10(w) x 9.25(h) x 0.03(d)

Table of Contents

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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