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…
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…
Consensus and Flocking under Communication Failures for a Class of Cucker-Smale Systems
Benoît Bonnet, Émilien Flayac
In this paper, we study sufficient conditions for the emergence of asymptotic consensus and flocking in a certain class of non-linear generalised Cucker-Smale systems subject to mu…
Generic Singularities of the 3D-Contact sub-Riemannian Conjugate Locus
Benoît Bonnet, Jean-Paul Gauthier, Francesco Rossi
In this paper, we extend and complete the classification of the generic singularities of the 3D-contact sub-Riemmanian conjugate locus in a neighbourhood of the origin.
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…
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…
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…