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2013 | OriginalPaper | Chapter

2. Turnpike Properties of Optimal Control Problems

Author : Alexander J. Zaslavski

Published in: Structure of Approximate Solutions of Optimal Control Problems

Publisher: Springer International Publishing

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Abstract

In this chapter we study a class of optimal control problems (with the same system of differential equations, the same functional constraints and the same boundary conditions) which is identified with the corresponding complete metric space of objective functions (integrands). The main results of this chapter establish the turnpike property for any element of a set which is a countable intersection of open everywhere dense sets in the space of integrands.

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Title: Turnpike Properties of Optimal Control Problems
Author: Alexander J. Zaslavski
Publisher: Springer International Publishing
Book: Structure of Approximate Solutions of Optimal Control Problems
Print ISBN: 978-3-319-01239-1

Electronic ISBN: 978-3-319-01240-7

Copyright Year: 2013
DOI: https://doi.org/10.1007/978-3-319-01240-7_2

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