Authors:
- Establishes a turnpike property for optimal control problems without convexity (concavity) assumptions
- Contains optimal solutions for optimal control problems without convexity (concavity) assumptions over infinite horizon
- Uses a turnpike property of approximate solutions for zero-sum game with two players
Part of the book series: Springer Optimization and Its Applications (SOIA, volume 99)
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Table of contents (5 chapters)
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Front Matter
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Back Matter
About this book
This book is devoted to the study of the turnpike phenomenon and describes the existence of solutions for a large variety of infinite horizon optimal control classes of problems. Chapter 1 provides introductory material on turnpike properties. Chapter 2 studies the turnpike phenomenon for discrete-time optimal control problems. The turnpike properties of autonomous problems with extended-value integrands are studied in Chapter 3. Chapter 4 focuses on large classes of infinite horizon optimal control problems without convexity (concavity) assumptions. In Chapter 5, the turnpike results for a class of dynamic discrete-time two-player zero-sum game are proven.
This thorough exposition will be very useful for mathematicians working in the fields of optimal control, the calculus of variations, applied functional analysis and infinite horizon optimization. It may also be used as a primary text in a graduate course in optimal control or as supplementary text for a variety of courses in other disciplines. Researchers in other fields such as economics and game theory, where turnpike properties are well known, will also find this Work valuable.
Authors and Affiliations
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Department of Mathematics, Technion - Israel Institute of Technology, Haifa, Israel
Alexander J. Zaslavski
Bibliographic Information
Book Title: Turnpike Phenomenon and Infinite Horizon Optimal Control
Authors: Alexander J. Zaslavski
Series Title: Springer Optimization and Its Applications
DOI: https://doi.org/10.1007/978-3-319-08828-0
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2014
Hardcover ISBN: 978-3-319-08827-3Published: 17 September 2014
Softcover ISBN: 978-3-319-35421-7Published: 10 September 2016
eBook ISBN: 978-3-319-08828-0Published: 04 September 2014
Series ISSN: 1931-6828
Series E-ISSN: 1931-6836
Edition Number: 1
Number of Pages: IX, 370
Topics: Calculus of Variations and Optimal Control; Optimization, Optimization, Operations Research, Management Science