English

Optimal Mass Transport of Nonlinear Systems under Input and Density Constraints

Optimization and Control 2024-03-26 v1

Abstract

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.

Keywords

Cite

@article{arxiv.2403.16683,
  title  = {Optimal Mass Transport of Nonlinear Systems under Input and Density Constraints},
  author = {Dongjun Wu and Anders Rantzer},
  journal= {arXiv preprint arXiv:2403.16683},
  year   = {2024}
}