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Structure of Approximate Solutions of Optimal Control Problems

  • Book
  • © 2013

Overview

Authors:
  1. Alexander J. Zaslavski

    1. Department of Mathematics, Technion- Israel Institute of Technology, Haifa, Israel

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  • Establishes the turnpike property for generic optimal control problems
  • Contains an in-depth look at the existence and structure of solutions of infinite horizon optimal control problems
  • Considers applications to linear control systems?
  • Includes supplementary material: sn.pub/extras

Part of the book series: SpringerBriefs in Optimization (BRIEFSOPTI)

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Table of contents (4 chapters)

  1. Front Matter

    Pages i-vii
    Download chapter PDF

  2. Introduction

    • Alexander J. Zaslavski
    Pages 1-9

  3. Turnpike Properties of Optimal Control Problems

    • Alexander J. Zaslavski
    Pages 11-75

  4. Infinite Horizon Problems

    • Alexander J. Zaslavski
    Pages 77-104

  5. Linear Control Systems

    • Alexander J. Zaslavski
    Pages 105-124

  6. Back Matter

    Pages 125-127
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Keywords

About this book

This title examines the structure of approximate solutions of optimal control problems considered on subintervals of a real line. Specifically at the properties of approximate solutions which are independent of the length of the interval. The results illustrated in this book look into the so-called turnpike property of optimal control problems.  The author generalizes the results of the turnpike property by considering  a class of optimal control problems which is identified with the corresponding complete metric space of objective functions. This establishes the turnpike property for any element in a set that is in a countable intersection which is open everywhere dense sets in the space of integrands; meaning that the turnpike property holds for most optimal control problems. Mathematicians working in optimal control and the calculus of variations and graduate students will find this book  useful and valuable due to its  presentation of solutions to a number of difficult problems in optimal control  and presentation of new approaches, techniques and methods.

Reviews

From the reviews:

“The author is interested in properties of approximate solutions which are independent of the interval, for all sufficiently large intervals. The results in this book are focused on the so-called turnpike property of the optimal control problems. … The book should be of interest to researchers in mathematical economics and/or in optimal control theory and the calculus of variations.” (Marian Mureşan, Mathematical Reviews, March, 2014)

Authors and Affiliations

  • Department of Mathematics, Technion- Israel Institute of Technology, Haifa, Israel

    Alexander J. Zaslavski

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