English

Dual Ensemble Kalman Filter for Stochastic Optimal Control

Systems and Control 2024-10-29 v2 Systems and Control

Abstract

In this paper, stochastic optimal control problems in continuous time and space are considered. In recent years, such problems have received renewed attention from the lens of reinforcement learning (RL) which is also one of our motivation. The main contribution is a simulation-based algorithm -- dual ensemble Kalman filter (EnKF) -- to numerically approximate the solution of these problems. The paper extends our previous work where the dual EnKF was applied in deterministic settings of the problem. The theoretical results and algorithms are illustrated with numerical experiments.

Keywords

Cite

@article{arxiv.2404.06696,
  title  = {Dual Ensemble Kalman Filter for Stochastic Optimal Control},
  author = {Anant A. Joshi and Amirhossein Taghvaei and Prashant G. Mehta and Sean P. Meyn},
  journal= {arXiv preprint arXiv:2404.06696},
  year   = {2024}
}

Comments

Accepted to IEEE Conference on Decision and Control, 2024

R2 v1 2026-06-28T15:49:26.793Z