Introduces flow matching for measure transport in control-affine systems and a complementary noising-time-reversal method for stabilization, with numerical examples on linear and nonlinear cases.
Continuity equations and ode flows with non-smooth velocity.Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 144(6):1191–1244
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Flow Matching for Measure Transport and Feedback Stabilization of Control-Affine Systems
Introduces flow matching for measure transport in control-affine systems and a complementary noising-time-reversal method for stabilization, with numerical examples on linear and nonlinear cases.