English

Markov control of continuous time Markov processes with long run functionals by time discretization

Optimization and Control 2025-08-12 v2 Probability

Abstract

In the paper we study continuous time controlled Markov processes using discrete time controlled Markov processes. We consider long run functionals: average reward per unit time or long run risk sensitive functional. We also investigate stability of continuous time functionals with respect to pointwise convergence of Markov controls.

Keywords

Cite

@article{arxiv.2505.06916,
  title  = {Markov control of continuous time Markov processes with long run functionals by time discretization},
  author = {Lukasz Stettner},
  journal= {arXiv preprint arXiv:2505.06916},
  year   = {2025}
}
R2 v1 2026-06-28T23:28:33.406Z