43 citations · 43 across the 2 of their papers we have counts for
6 papers · 1 filter
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…
Necessary Optimality Conditions for Optimal Control Problems in Wasserstein Spaces
Benoît Bonnet, Hélène Frankowska
In this article, we derive first-order necessary optimality conditions for a constrained optimal control problem formulated in the Wasserstein space of probability measures. To thi…
Mean-Field Optimal Control of Continuity Equations and Differential Inclusions
Benoît Bonnet, Hélène Frankowska
In this article, we propose a new unifying framework for the investigation of multi-agent control problems in the mean-field setting. Our approach is based on a new definition of d…
Differential Inclusions in Wasserstein Spaces: The Cauchy-Lipschitz Framework
Benoît Bonnet, Hélène Frankowska
In this article, we propose a general framework for the study of differential inclusions in the Wasserstein space of probability measures. Based on earlier geometric insights on th…
Intrinsic Lipschitz Regularity of Mean-Field Optimal Controls
Benoît Bonnet, Francesco Rossi
In this article, we provide sufficient conditions under which the controlled vector fields solution of optimal control problems formulated on continuity equations are Lipschitz reg…
A Pontryagin Maximum Principle in Wasserstein Spaces for Constrained Optimal Control Problems
Benoît Bonnet
In this paper, we prove a Pontryagin Maximum Principle for constrained optimal control problems in the Wasserstein space of probability measures. The dynamics, is described by a tr…