6 papers · 1 filter
Reflected Schrodinger Bridge Problem over Sub-Riemannian Manifold
Daniel Owusu Adu
We formulate and solve the reflected sub-Riemannian Schrödinger bridge (SB) problem: minimum-energy transport of probability distributions on a bounded domain for underactuated dy…
From Schrodinger Bridge to Optimal Transport over Sub-Riemannian Manifolds
Daniel Owusu Adu, Karthik Elamvazhuthi, Bahman Gharesifard
We study the least-energy way to reshape a probability distribution when motion is constrained to a horizontal bundle, that is, optimal transport and distribution steering in sub-R…
Flow Matching for Averaged Systems
Daniel Owusu Adu, Yongxin Chen
We extend flow matching to ensembles of linear systems in both deterministic and stochastic settings. Averaging over system parameters induces memory leading to a non-Markovian int…
Schrodinger Bridge over Averaged Systems
Daniel Owusu Adu, Yongxin Chen
We consider a Schrödinger bridge problem where the Markov process is subject to parameter perturbations, forming an ensemble of systems. Our objective is to steer this ensemble fr…
Well-posedness and Bilinear Controllability of a Repairable System with Degraded State
Daniel Owusu Adu, Weiwei Hu
In this work, we consider the dynamics of repairable systems characterized by three distinct states: one signifying normal operational states, another representing degraded conditi…
Bilinear Controllability of a Simple Reparable System
Daniel Owusu Adu, Weiwei Hu
Reparable systems are systems that are characterized by their ability to undergo maintenance actions when failures occur. These systems are often described by transport equations,…