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Erschienen in:
2014 | OriginalPaper | Buchkapitel
2. Optimal Control Problems with Singleton Turnpikes
verfasst von : Alexander J. Zaslavski
Erschienen in: Stability of the Turnpike Phenomenon in Discrete-Time Optimal Control Problems
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Abstract
In this chapter we study the structure of solutions of a discrete-time control system with a compact metric space of states X which arises in economic dynamics. This control system is 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.