43 citations · 172 across the 14 of their papers we have counts for
16 papers
Viability and Exponentially Stable Trajectories for Differential Inclusions in Wasserstein Spaces
Benoît Bonnet, Hélène Frankowska
In this article, we prove a general viability theorem for continuity inclusions in Wasserstein spaces, and provide an application thereof to the existence of exponentially stable t…
First-Order Pontryagin Maximum Principle for Risk-Averse Stochastic Optimal Control Problems
Riccardo Bonalli, Benoît Bonnet
In this paper, we derive first-order Pontryagin optimality conditions for risk-averse stochastic optimal control problems subject to final time inequality constraints, and whose co…
Consensus Formation in First-Order Graphon Models with Time-Varying Topologies
Benoît Bonnet, Nastassia Pouradier Duteil, Mario Sigalotti
In this article, we investigate the asymptotic formation of consensus for several classes of time-dependent cooperative graphon dynamics. After motivating the use of this type of m…
Semiconcavity and Sensitivity Analysis in Mean-Field Optimal Control and Applications
Benoît Bonnet, Hélène Frankowska
In this article, we investigate some of the fine properties of the value function associated to an optimal control problem in the Wasserstein space of probability measures. Buildin…
On the Properties of the Value Function Associated to a Mean-Field Optimal Control Problem of Bolza Type
Benoît Bonnet, Hélène Frankowska
In this paper, we obtain several structural results for the value function associated to a mean-field optimal control problem of Bolza type in the space of measures. After establis…
A Measure Theoretical Approach to the Mean-field Maximum Principle for Training NeurODEs
Benoît Bonnet, Cristina Cipriani, Massimo Fornasier +1
In this paper we consider a measure-theoretical formulation of the training of NeurODEs in the form of a mean-field optimal control with -regularization of the control. We der…