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An Introduction to Optimal Control Theory

  • Book
  • © 1968

Overview

Authors:
  1. Aaron Strauss

    1. University of Maryland, USA

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Part of the book series: Lecture Notes in Economics and Mathematical Systems (LNE, volume 3)

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Table of contents (9 chapters)

  1. Front Matter

    Pages N2-V
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  2. Introduction

    • Aaron Strauss
    Pages 1-2

  3. Control Problem

    • Aaron Strauss
    Pages 3-15

  4. Railroad Train Example

    • Aaron Strauss
    Pages 17-29

  5. Controllability

    • Aaron Strauss
    Pages 31-45

  6. Controllability Using Special Controls

    • Aaron Strauss
    Pages 47-58

  7. Linear Time Optimal Systems

    • Aaron Strauss
    Pages 59-79

  8. General Control Systems: Existence

    • Aaron Strauss
    Pages 81-105

  9. General Control Systems: Necessary Conditions

    • Aaron Strauss
    Pages 107-140

  10. Further Topics

    • Aaron Strauss
    Pages 141-142

  11. Back Matter

    Pages 143-155
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Keywords

About this book

This paper is intended for the beginner. It is not a stateยญ of-the-art paper for research workers in the field of control theory. Its purpose is to introduce the reader to some of the problems and results in control theory, to illustrate the application of these reยญ sults, and to provide a guide for his further reading on this subject. I have tried to motivate the results with examples, especialยญ ly with one canonical, simple example described in ยง3. Many results, such as the maximum principle, have long and difficult proofs. I have omitted these proofs. In general I have included only the proofs which are either (1) not too difficult or (2) fairly enlightening as to the nature of the result. I have, however, usually attempted to draw the strongest conclusion from a given proof. For example, many existing proofs in control theory for compact targets and uniqueness of solutions also hold for closed targets and non-uniqueness. Finally, at the end of each section I have given references to generalizations and origins of the results discussed in that section. I make no claim of completeness in the references, however, as I have often been content merely to refer the reader either to an exposition or to a paper which has an extensive bibliography. IV These 1ecture notes are revisions of notes I used for aseries of nine 1ectures on contro1 theory at the International Summer Schoo1 on Mathematica1 Systems and Economics held in Varenna, Ita1y, June 1967.

Authors and Affiliations

  • University of Maryland, USA

    Aaron Strauss

Bibliographic Information

  • Book Title: An Introduction to Optimal Control Theory

  • Authors: Aaron Strauss

  • Series Title: Lecture Notes in Economics and Mathematical Systems

  • DOI: https://doi.org/10.1007/978-3-642-51001-4

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin ยท Heidelberg 1968

  • Softcover ISBN: 978-3-540-04252-5Published: 09 May 1968

  • eBook ISBN: 978-3-642-51001-4Published: 06 December 2012

  • Series ISSN: 0075-8442

  • Series E-ISSN: 2196-9957

  • Edition Number: 1

  • Number of Pages: VI, 154

  • Number of Illustrations: 2 b/w illustrations

  • Topics: Operations Research/Decision Theory

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