Overview
- Demonstrates that turnpike properties are common in much wider classes of problems than
- was traditionally thought
- Includes supplementary material: sn.pub/extras
Part of the book series: Nonconvex Optimization and Its Applications (NOIA, volume 80)
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Table of contents (12 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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.
Reviews
From the reviews:
"The book is a compilation of the intensive work of the author on the turnpike property over the past 10 to 15 years … . The book should be of interest not only to researchers in mathematical economics but also to those in optimal control theory and the calculus of variations whose interests lie in the structural properties of the long term behavior of optimal solutions." (Dean A. Carlson, Mathematical Reviews, Issue 2006 f)
"This monograph is dedicated to the study of the turnpike theory and is based mainly on the author’s results on the subject obtained in the last twenty years. … The list of references has 112 items, 23 being papers of the author. It also contains a preface, an introduction and an index. The book addresses to mathematicians working in optimal control, calculus of variations, mathematical economics and game theory." (Constantin Zalinescu, Zentralblatt MATH, Vol. 1100 (2), 2007)
Authors and Affiliations
Bibliographic Information
Book Title: Turnpike Properties in the Calculus of Variations and Optimal Control
Authors: Alexander J. Zaslavski
Series Title: Nonconvex Optimization and Its Applications
DOI: https://doi.org/10.1007/0-387-28154-1
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag US 2006
Hardcover ISBN: 978-0-387-28155-1Published: 25 August 2005
Softcover ISBN: 978-1-4419-3924-1Published: 23 November 2010
eBook ISBN: 978-0-387-28154-4Published: 27 January 2006
Series ISSN: 1571-568X
Edition Number: 1
Number of Pages: XXII, 396
Topics: Calculus of Variations and Optimal Control; Optimization, Optimization