193 citations · 487 across the 34 of their papers we have counts for
23 papers · 1 filter
Vanishing viscosity in mean-field optimal control
Gennaro Ciampa, Francesco Rossi
We show the existence of Lipschitz-in-space optimal controls for a class of mean-field control problems with dynamics given by a non-local continuity equation. The proof relies on…
On the Lebesgue measure of the boundary of the evoluted set
Francesco Boarotto, Laura Caravenna, Francesco Rossi +1
The evoluted set is the set of configurations reached from an initial set via a fixed flow for all times in a fixed interval. We find conditions on the initial set and on the flow…
Generalized solutions to opinion dynamics models with discontinuities
Francesca Ceragioli, Paolo Frasca, Benedetto Piccoli +1
Social dynamics models may present discontinuities in the right-hand side of the dynamics for multiple reasons, including topology changes and quantization. Several concepts of gen…
Variance Optimization and Control Regularity for Mean-Field Dynamics
Benoît Bonnet, Francesco Rossi
We study a family of optimal control problems in which one aims at minimizing a cost that mixes a quadratic control penalization and the variance of the system, both for finitely m…
Vanishing viscosity for linear-quadratic mean-field control problems
Gennaro Ciampa, Francesco Rossi
We consider a mean-field control problem with linear dynamics and quadratic control. We apply the vanishing viscosity method: we add a (regularizing) heat diffusion with a small vi…
Generalized solutions to bounded-confidence models
Benedetto Piccoli, Francesco Rossi
Bounded-confidence models in social dynamics describe multi-agent systems, where each individual interacts only locally with others. Several models are written as systems of ordina…