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.
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Zaslavski, A. (2014). Optimal Control Problems with Discounting. In: Stability of the Turnpike Phenomenon in Discrete-Time Optimal Control Problems. SpringerBriefs in Optimization. Springer, Cham. https://doi.org/10.1007/978-3-319-08034-5_3
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DOI: https://doi.org/10.1007/978-3-319-08034-5_3
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Publisher Name: Springer, Cham
Print ISBN: 978-3-319-08033-8
Online ISBN: 978-3-319-08034-5
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