@inproceedings{302cc2fe-2bd5-46c3-94ef-913533f96761,
  abstract     = {{In this paper, we introduce a generalized dynamical unbalanced optimal transport framework by incorporating limited control input and mass dissipation, addressing limitations in conventional optimal transport for control applications. We derive a convex dual of the problem using dual optimal control techniques developed before and during the 1990s, transforming the non-convex optimization into a more tractable form. At the core of this formulation is the smooth sub-solutions to an HJB equation. A first-order algorithm based on the dual formulation is proposed to solve the problem numerically.}},
  author       = {{Wu, Dongjun and Rantzer, Anders}},
  booktitle    = {{2025 IEEE 64th Conference on Decision and Control, CDC 2025}},
  isbn         = {{9798331526276}},
  issn         = {{2576-2370}},
  keywords     = {{dual optimal control; Nonlinear systems; Optimal transport}},
  language     = {{eng}},
  pages        = {{3142--3148}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  series       = {{Proceedings of the IEEE Conference on Decision and Control}},
  title        = {{Nonlinear Dynamical Unbalanced Optimal Transport : Relaxation and Duality}},
  url          = {{http://dx.doi.org/10.1109/CDC57313.2025.11311979}},
  doi          = {{10.1109/CDC57313.2025.11311979}},
  year         = {{2025}},
}