193 citations · 487 across the 34 of their papers we have counts for
6 papers · 1 filter
The Pontryagin Maximum Principle in the Wasserstein Space
Benoît Bonnet, Francesco Rossi
We prove a Pontryagin Maximum Principle for optimal control problems in the space of probability measures, where the dynamics is given by a transport equation with non-local veloci…
Approximate and exact controllability of the continuity equation with a localized vector field
Michel Duprez, Morgan Morancey, Francesco Rossi
We study the controllability of a Partial Differential Equation of transport type, that arises in crowd models. We are interested in controlling it with a control being a vector fi…
Sparse Control of Kinetic Cooperative Systems to Approximate Alignment
Benoît Bonnet, Francesco Rossi
Cooperative systems are systems in which the forces among agents are non-repulsive. The free evolution of such systems can tend to the formation of patterns, such as consensus or c…
Minimal time problem for discrete crowd models with a localized vector field
Michel Duprez, Morgan Morancey, Francesco Rossi
In this work, we study the minimal time to steer a given crowd to a desired configuration. The control is a vector field, representing a perturbation of the crowd velocity, localiz…
Controllability and optimal control of the transport equation with a localized vector field
Michel Duprez, Morgan Morancey, Francesco Rossi
We study controllability of a Partial Differential Equation of transport type, that arises in crowd models. We are interested in controlling such system with a control being a Lips…
Mean-Field Sparse Jurdjevic--Quinn Control
Marco Caponigro, Benedetto Piccoli, Francesco Rossi +1
We consider nonlinear transport equations with non-local velocity, describing the time-evolution of a measure, which in practice may represent the density of a crowd. Such equation…