145 citations · 153 across the 7 of their papers we have counts for
7 papers
Optimal control problems driven by nonlinear degenerate Fokker-Planck equations
Francesca Anceschi, Giacomo Ascione, Daniele Castorina +1
The well-posedness of a class of optimal control problems is analysed, where the state equation couples a nonlinear degenerate Fokker-Planck equation with a system of Ordinary Diff…
Well-posedness of Kolmogorov-Fokker-Planck equations with unbounded drift
Francesca Anceschi, Giacomo Ascione, Daniele Castorina +1
We consider Kolmogorov-Fokker-Planck equations with unbounded drift terms which are only measurable in time and locally Hölder continuous in space. In particular, we extend the par…
Mean field sparse optimal control of systems with additive white noise
Giacomo Ascione, Daniele Castorina, Francesco Solombrino
We analyze the problem of controlling a multi-agent system with additive white noise through parsimonious interventions on a selected subset of the agents (leaders). For such a con…
Leader formation with mean-field birth and death models
Giacomo Albi, Mattia Bongini, Francesco Rossi +1
We provide a mean-field description for a leader-follower dynamics with mass transfer among the two populations. This model allows the transition from followers to leaders and vice…
Mean-Field Pontryagin Maximum Principle
Mattia Bongini, Massimo Fornasier, Francesco Rossi +1
We derive a Maximum Principle for optimal control problems with constraints given by the coupling of a system of ODEs and a PDE of Vlasov-type. Such problems arise naturally as …
Mean-Field Optimal Control
Massimo Fornasier, Francesco Solombrino
We introduce the concept of {\it mean-field optimal control} which is the rigorous limit process connecting finite dimensional optimal control problems with ODE constraints modelin…
Linearly contrained nonsmooth and nonconvex minimization
Marco Artina, Massimo Fornasier, Francesco Solombrino
Motivated by variational models in continuum mechanics, we introduce a novel algorithm to perform nonsmooth and nonconvex minimizations with linear constraints in Euclidean spaces.…