4 papers
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…
Feedback Control and Local Convexification of Wasserstein Gradient Flows
Dante Kalise, Lucas M. Moschen, Grigorios A. Pavliotis
For free energies of the form \[ F(μ) = E(μ) + Ï\int_Ωμ\logμ\,dx, \quad Ï> 0, \] we study the Wasserstein gradient flow, a continuity equation also known as mean-field Lange…
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…
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…