Overview
- Numerous illustrative examples support the material for the broad spectrum of experts
- Presents new approaches, techniques, and methods to handle problems in infinite dimensional optimal control
- Clarifies the differences between discrete-time and continuous-time optimal control solutions that have the turnpike property
Part of the book series: Springer Optimization and Its Applications (SOIA, volume 148)
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Table of contents (7 chapters)
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Front Matter
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Back Matter
Keywords
About this book
This book provides a comprehensive study of turnpike phenomenon arising in optimal control theory. The focus is on individual (non-generic) turnpike results which are both mathematically significant and have numerous applications in engineering and economic theory. All results obtained in the book are new. New approaches, techniques, and methods are rigorously presented and utilize research from finite-dimensional variational problems and discrete-time optimal control problems to find the necessary conditions for the turnpike phenomenon in infinite dimensional spaces.
The semigroup approach is employed in the discussion as well as PDE descriptions of continuous-time dynamics. The main results on sufficient and necessary conditions for the turnpike property are completely proved and the numerous illustrative examples support the material for the broad spectrum of experts. Mathematicians interested in the calculus of variations, optimal control and in applied functional analysis will find this book a useful guide to the turnpike phenomenon in infinite dimensional spaces. Experts in economic and engineering modeling as well as graduate students will also benefit from the developed techniques and obtained results.
Reviews
“This is an excellent book devoted to the well-known turnpike phenomenon which holds for large classes of variational and optimal control problems. ... Examples and many exercises are included to illustrate the theoretical results. An adequate list of references and an index of notations are added. It is worth pointing out that the book is well organized, with clear proofs and explanations, easy to read. I strongly recommend it to graduate students and researchers interested in the field.” (Gheorghe Moroşanu, zbMATH 1462.49003, 2021)
Authors and Affiliations
About the author
Bibliographic Information
Book Title: Turnpike Conditions in Infinite Dimensional Optimal Control
Authors: Alexander J. Zaslavski
Series Title: Springer Optimization and Its Applications
DOI: https://doi.org/10.1007/978-3-030-20178-4
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Hardcover ISBN: 978-3-030-20177-7Published: 01 August 2019
Softcover ISBN: 978-3-030-20180-7Published: 14 August 2020
eBook ISBN: 978-3-030-20178-4Published: 23 July 2019
Series ISSN: 1931-6828
Series E-ISSN: 1931-6836
Edition Number: 1
Number of Pages: X, 570
Topics: Calculus of Variations and Optimal Control; Optimization, Partial Differential Equations, Functional Analysis, Group Theory and Generalizations