3 papers
math.OC2025
Nonlinear Dynamical Unbalanced Optimal Transport: Relaxation and Duality
Dongjun Wu, Anders Rantzer
In this paper, we introduce a generalized dynamical unbalanced optimal transport framework by incorporating limited control input and mass dissipation, addressing limitations in co…
math.OC2024
Duality-based Dynamical Optimal Transport of Discrete Time Systems
Dongjun Wu, Anders Rantzer
We study dynamical optimal transport of discrete time systems (dDOT) with Lagrangian cost. The problem is approached by combining optimal control and Kantorovich duality theory. Ba…
math.OC2024
Optimal Mass Transport of Nonlinear Systems under Input and Density Constraints
Dongjun Wu, Anders Rantzer
We investigate optimal mass transport problem of affine-nonlinear dynamical systems with input and density constraints. Three algorithms are proposed to tackle this problem, includ…