Structure of Approximate Solutions of Optimal Control Problems

Author:   Alexander J. Zaslavski
Publisher:   Springer International Publishing AG
Edition:   2013 ed.
ISBN:  

9783319012391


Pages:   135
Publication Date:   16 August 2013
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Structure of Approximate Solutions of Optimal Control Problems


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Overview

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.

Full Product Details

Author:   Alexander J. Zaslavski
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   2013 ed.
Dimensions:   Width: 15.50cm , Height: 0.70cm , Length: 23.50cm
Weight:   2.175kg
ISBN:  

9783319012391


ISBN 10:   3319012398
Pages:   135
Publication Date:   16 August 2013
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Preface.- 1.Introduction.- 2.Turnpike Properties of Optimal Control Problems.- 3.Infinite Horizon Problems.- 4.Linear Control Systems.- References.

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 Muresan, Mathematical Reviews, March, 2014)


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)


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 Muresan, Mathematical Reviews, March, 2014)


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