Turnpike Conditions in Infinite Dimensional Optimal Control

Alexander J. Zaslavski

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English

Springer Nature Switzerland AG
14 August 2020

Groups & group theory; Functional analysis & transforms; Differential calculus & equations; Calculus of variations; Optimisation

Series: Springer Optimization and Its Applications

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.

By: Alexander J. Zaslavski
Imprint: Springer Nature Switzerland AG
Country of Publication: Switzerland
Edition: 1st ed. 2019
Volume: 148
Dimensions: Height: 235mm, Width: 155mm,
Weight: 878g
ISBN: 9783030201807
ISBN 10: 3030201805
Series: Springer Optimization and Its Applications
Pages: 570
Publication Date: 14 August 2020
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

Reviews for Turnpike Conditions in Infinite Dimensional Optimal Control

“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)