English

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

Optimization and Control 2017-02-06 v1

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.

Keywords

Cite

@article{arxiv.1702.00857,
  title  = {Linear Programming Formulations of Deterministic Infinite Horizon Optimal Control Problems in Discrete Time},
  author = {Vladimir Gaitsgory and Alex Parkinson and I. Shvartsman},
  journal= {arXiv preprint arXiv:1702.00857},
  year   = {2017}
}
R2 v1 2026-06-22T18:08:10.241Z