English

Small noise perturbations of stochastic ergodic control problems

Optimization and Control 2024-05-02 v1 Probability

Abstract

Using small noise limit approach, we study degenerate stochastic ergodic control problems and as a byproduct obtain error bounds for the ε\varepsilon-optimal controls. We also establish tunneling for a special ergodic control problem and give a representation of the ergodic value using the tunneled Markov chain.

Keywords

Cite

@article{arxiv.2405.00067,
  title  = {Small noise perturbations of stochastic ergodic control problems},
  author = {K. Suresh Kumar and Vikrant Desai},
  journal= {arXiv preprint arXiv:2405.00067},
  year   = {2024}
}
R2 v1 2026-06-28T16:12:00.259Z