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arxiv: 1702.00857 · v1 · pith:KD5THICAnew · submitted 2017-02-02 · 🧮 math.OC

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

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keywords problemstimeoptimalcontrolcriteriadiscountingdiscreteestablish
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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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