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2013 | OriginalPaper | Chapter

10. Uniform Boundedness of Approximate Solutions of Variational Problems

Author : Alexander J. Zaslavski

Published in: Nonconvex Optimal Control and Variational Problems

Publisher: Springer New York

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Abstract

In this chapter, given an \(x_{0} \in {R}^{n}\) we study the infinite horizon problem of minimizing the expression \(\int _{0}^{T}f(t,x(t),x^{\prime}(t))dt\) as T grows to infinity where \(x : [0,\infty ) \rightarrow {R}^{n}\) satisfies the initial condition x(0) = x 0. We analyze the existence and properties of approximate solutions for every prescribed initial value x 0.

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previous chapter Infinite-Dimensional Linear Control Problems
next chapter The Turnpike Property for Approximate Solutions of Variational Problems
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Metadata
Title
Uniform Boundedness of Approximate Solutions of Variational Problems
Author
Alexander J. Zaslavski
Copyright Year
2013
Publisher
Springer New York
Book
Nonconvex Optimal Control and Variational Problems

Print ISBN: 978-1-4614-7377-0

Electronic ISBN: 978-1-4614-7378-7

Copyright Year: 2013

DOI
https://doi.org/10.1007/978-1-4614-7378-7_10

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