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SpringerBriefs in Optimization

Structure of Approximate Solutions of Optimal Control Problems

Authors: Zaslavski, Alexander J.

  • 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​ 
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eBook $39.99
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  • ISBN 978-3-319-01240-7
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Softcover $54.99
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  • ISBN 978-3-319-01239-1
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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)

Table of contents (4 chapters)

  • Introduction

    Zaslavski, Alexander J.

    Pages 1-9

  • Turnpike Properties of Optimal Control Problems

    Zaslavski, Alexander J.

    Pages 11-75

  • Infinite Horizon Problems

    Zaslavski, Alexander J.

    Pages 77-104

  • Linear Control Systems

    Zaslavski, Alexander J.

    Pages 105-124

Buy this book

eBook $39.99
price for USA (gross)
  • ISBN 978-3-319-01240-7
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $54.99
price for USA
  • ISBN 978-3-319-01239-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Structure of Approximate Solutions of Optimal Control Problems
Authors
Series Title
SpringerBriefs in Optimization
Copyright
2013
Publisher
Springer International Publishing
Copyright Holder
Alexander J. Zaslavski
eBook ISBN
978-3-319-01240-7
DOI
10.1007/978-3-319-01240-7
Softcover ISBN
978-3-319-01239-1
Series ISSN
2190-8354
Edition Number
1
Number of Pages
VII, 135
Topics