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math.OC2025
Linearization-Based Feedback Stabilization of McKean-Vlasov PDEs
Dante Kalise, Lucas M. Moschen, Grigorios A. Pavliotis
We develop a feedback control framework for stabilizing the McKean-Vlasov PDE on the torus. Our goal is to steer the dynamics toward a prescribed stationary distribution or acceler…
math.OC2025
Bang-Bang Optimal Control of Vaccination in Metapopulation Epidemics with Linear Cost Structures
Lucas Machado Moschen, Maria Soledad Aronna
This paper investigates optimal vaccination strategies in a metapopulation epidemic model. We consider a linear cost to better capture operational considerations, such as the total…
math.OC2025
A Spectral Approach to Optimal Control of the Fokker-Planck Equation
Dante Kalise, Lucas M. Moschen, Grigorios A. Pavliotis +1
In this paper, we present a spectral optimal control framework for Fokker-Planck equations based on the standard ground state transformation that maps the Fokker-Planck operator to…