A first-order condition for discrete-time distribution steering
Optimization and Control
2025-08-29 v1
Abstract
We study a class of distribution-steering problems from a variational point of view. Under some differentiability assumptions, we derive necessary conditions for optimal Markov policies in the spirit of the Lagrange multiplier approach. We also provide a heuristic gradient-based method derived from the variational principle.
Cite
@article{arxiv.2508.21026,
title = {A first-order condition for discrete-time distribution steering},
author = {Alberto Domínguez Corella and David González-Sánchez},
journal= {arXiv preprint arXiv:2508.21026},
year = {2025}
}