Stochastic D²OC guarantees that the time-averaged empirical distribution of stochastic LTI multi-agent systems converges to a target density with bounded tracking error via reachability analysis.
Optimal transport over a linear dynamical system.IEEE Transactions on Automatic Control, 62(5):2137–2152
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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.
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Density-Driven Optimal Control: Convergence Guarantees for Stochastic LTI Multi-Agent Systems
Stochastic D²OC guarantees that the time-averaged empirical distribution of stochastic LTI multi-agent systems converges to a target density with bounded tracking error via reachability analysis.
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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.