Abstract

In this work we study the structure of "approximate" solutions for an infinite dimensional discrete-time optimal control problem determined by a convex function v : K × K → R1R^1, where K is a convex closed bounded subset of a Banach space. We show that for a generic function v there exists yvy_v ∈ K such that each "approximate" optimal solution {xi}i=0n\{x_i\}_{i=0}^n ⊂ K is a contained in a small neighborhood of yvy_v for all i ∈ {N,...,n - N}, where N is a constant which depends on the neighborhood and does not depend on n.

Author information

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Alexander J. Zaslavski

Department of Mathematics, Technion-Israel Institute of Technology, 32000, Haifa, Israel

Keywords

  • Turnpike property
  • Banach space
  • convex function
  • generic function

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Suggested citation

A. J. Zaslavski. “Turnpike Theorem for Convex Infinite Dimensional Discrete-Time Control Systems.” Journal of Convex Analysis 5 (1998), No. 2, 237–248. https://doi.org/10.68381/jca05-17

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Published by Heldermann Verlag, 1998. Rights now held by Banach Press LLC.