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Linear Programming Formulations of Deterministic Infinite Horizon Optimal Control Problems in Discrete Time

Published 2 Feb 2017 in math.OC | (1702.00857v1)

Abstract: This paper is devoted to a study of infinite horizon optimal control problems with time discounting and time averaging criteria in discrete time. We establish that these problems are related to certain infinite-dimensional linear programming (IDLP) problems. We also establish asymptotic relationships between the optimal values of problems with time discounting and long-run average criteria.

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