Nonlinear Dynamical Unbalanced Optimal Transport : Relaxation and Duality
Wu, Dongjun LU and Rantzer, Anders LU
(2025)
64th IEEE Conference on Decision and Control, CDC 2025
In Proceedings of the IEEE Conference on Decision and Control
p.3142-3148
- 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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/302cc2fe-2bd5-46c3-94ef-913533f96761
- author
- Wu, Dongjun
LU
and Rantzer, Anders
LU
- organization
- publishing date
- 2025
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- keywords
- dual optimal control, Nonlinear systems, Optimal transport
- host publication
- 2025 IEEE 64th Conference on Decision and Control, CDC 2025
- series title
- Proceedings of the IEEE Conference on Decision and Control
- pages
- 7 pages
- publisher
- IEEE - Institute of Electrical and Electronics Engineers Inc.
- conference name
- 64th IEEE Conference on Decision and Control, CDC 2025
- conference location
- Rio de Janeiro, Brazil
- conference dates
- 2025-12-09 - 2025-12-12
- external identifiers
-
- scopus:105031880005
- ISSN
- 0743-1546
- 2576-2370
- ISBN
- 9798331526276
- DOI
- 10.1109/CDC57313.2025.11311979
- project
- Scalable Control of Interconnected Systems
- language
- English
- LU publication?
- yes
- id
- 302cc2fe-2bd5-46c3-94ef-913533f96761
- alternative location
- https://arxiv.org/abs/2504.03301
- date added to LUP
- 2026-05-05 21:24:57
- date last changed
- 2026-09-10 20:00:45
@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 = {{0743-1546}},
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}},
}