The Turnpike Property for Approximate Solutions of Variational Problems

Alexander J. Zaslavski
Additional contact information
Alexander J. Zaslavski: Technion - Israel Institute of Technology

Chapter Chapter 11 in Nonconvex Optimal Control and Variational Problems, 2013, pp 305-325 from Springer

Abstract: Abstract In this chapter we study the structure of approximate solutions of variational problems with continuous integrands $$f : [0,\infty ) \times {R}^{n} \times {R}^{n} \rightarrow {R}^{1}$$ which belong to a complete metric space of functions $$\mathfrak{M}$$ . We do not impose any convexity assumption and establish the existence of an everywhere dense G δ -set $$\mathcal{F}\subset \mathfrak{M}$$ such that each integrand in $$\mathcal{F}$$ has the turnpike property.

Keywords: Turnpike Property; Convexity Assumption; Strong Topology; Weak Topology; Countable Intersection (search for similar items in EconPapers)
Date: 2013
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-1-4614-7378-7_11

Ordering information: This item can be ordered from
http://www.springer.com/9781461473787

DOI: 10.1007/978-1-4614-7378-7_11

Access Statistics for this chapter

More chapters in Springer Optimization and Its Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().