Structure of approximate solutions of optimal control problems Alexander J. Zaslavski

Format:

Book

Author/Creator:

Zaslavski, Alexander J., author.

Series:

SpringerBriefs in optimization 2190-8354

Language:

English

Subjects (All):

Mathematical optimization.

Calculus of variations.

Physical Description:

1 online resource

Place of Publication:

New York Springer 2013

Language Note:

English

Summary:

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

Contents:

Introduction Turnpike Properties of Optimal Control Problems Infinite Horizon Problems Linear Control Systems

Notes:

Includes bibliographical references and index

Online resource; title from PDF title page (SpringerLink, viewed August 20, 2013)

ISBN:

9783319012407

3319012401

3319012398

9783319012391

OCLC:

857225517

Access Restriction:

Restricted for use by site license