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math.OC2024
A Cone-preserving Solution to a Nonsymmetric Riccati Equation
Emil Vladu, Anders Rantzer
In this paper, we provide the following simple equivalent condition for a nonsymmetric Algebraic Riccati Equation to admit a stabilizing cone-preserving solution: an associated coe…
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…