A finite-horizon feedback law built from projected one-dimensional optimal transport maps steers distributions, with Gaussian terminal convergence, randomized-to-average convergence, and exact finite-step realization for controllable linear systems.
Proceedings of the 39th Annual Conference on Learning Theory , pages=
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Distribution Steering via Sliced Optimal Transport Control
A finite-horizon feedback law built from projected one-dimensional optimal transport maps steers distributions, with Gaussian terminal convergence, randomized-to-average convergence, and exact finite-step realization for controllable linear systems.