Abstract

In this chapter we study stability of the turnpike phenomenon for approximate solutions for a general class of discrete-time optimal control problems with nonsingleton turnpikes and with a compact metric space of states. This class of optimal control problems is identified with a complete metric space of objective functions. We show that the turnpike phenomenon is stable under perturbations of an objective function if the corresponding infinite horizon optimal control problem possesses an asymptotic turnpike property.KeywordsAsymptotic Turnpike PropertyTurnpike PhenomenonInfinite Horizon Optimal Control ProblemDiscrete-time Optimal Control SystemRelative TopologyThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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