Optimal Mass Transport of Nonlinear Systems under Input and Density Constraints

Anders Rantzer; Dongjun Wu

Optimal Mass Transport of Nonlinear Systems under Input and Density Constraints

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arxiv 2403.16683 v1 pith:VYROYEQI submitted 2024-03-25 math.OC

Dongjun Wu , Anders Rantzer This is my paper · ORCID

classification math.OC

keywords algorithmconstraintsdensityinputmassoptimalproblemsystems

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We investigate optimal mass transport problem of affine-nonlinear dynamical systems with input and density constraints. Three algorithms are proposed to tackle this problem, including two Uzawa-type methods and a splitting algorithm based on the Douglas-Rachford algorithm. Some preliminary simulation results are presented to demonstrate the effectiveness of our approaches.

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