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Optimal Control Problems with Discounting

  • Alexander J. ZaslavskiEmail author
Chapter
Part of the SpringerBriefs in Optimization book series (BRIEFSOPTI)

Abstract

In this chapter we continue our study of the structure of approximate solutions of the discrete-time optimal control problems with a compact metric space of states X and with a singleton turnpike. These problems are described by a nonempty closed set \(\Omega \subset X \times X\) which determines a class of admissible trajectories (programs) and by a bounded upper semicontinuous objective function \(v:X\times X \to R^1\) which determines an optimality criterion. We show the stability of the turnpike phenomenon under small perturbations of the objective function v and the set Ω in the case with discounting. The results of the chapter generalize the results obtained in [54] for the discounting case with a perturbation only on the objective function.

Copyright information

© The Author 2014

Authors and Affiliations

  1. 1.Department of MathematicsTechnion- Israel Institute of TechnologyHaifaIsrael

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