2 citations · 2 across the 7 of their papers we have counts for
8 papers
Exponential Turnpike Theorems for Nonlinear Deterministic Meanfield Optimal Control Problems
Benoît Bonnet-Weill, Giovanni Colombo, Denis Shishmintsev +1
In this article, we establish exponential turnpike theorems for a class of nonlinear deterministic meanfield optimal control problems. We carry out our analysis simultaneously in t…
A Characterization of Law-Invariant and Coherent Risk Measures through Optimal Transport
Riccardo Bonalli, Benoît Bonnet-Weill, Laurent Pfeiffer
In this article, we propose a novel characterization of law-invariant and coherent risk measures, based on a generalized optimal transport problem in which the second marginal of t…
Structured Continuity Equations in Fibred Wasserstein Spaces
Benoît Bonnet-Weill, Nastassia Pouradier Duteil
In this article, we develop a comprehensive ODE-theory for structured continuity equations in fibred probability spaces, which represent a class of heterogeneous PDEs arising as th…
Viability Theory in the 1-Wasserstein Space
Benoît Bonnet-Weill, Alberto Domínguez Corella, Hélène Frankowska
In this article, we establish necessary and sufficient viability conditions for continuity inclusions over the 1-Wasserstein space. Depending on the regularity properties of the dy…
Exponential Consensus Formation in Time-Varying Multiagent Systems via Compactification Methods
Benoît Bonnet-Weill, Mario Sigalotti
In this article, we establish exponential contraction results for the diameter and variance of general first-order multiagent systems. Our approach is based on compactification tec…
Set-Valued Koopman Theory for Control Systems
Benoît Bonnet-Weill, Milan Korda
In this paper, we introduce a new notion of Koopman operator which faithfully encodes the dynamics of controlled systems by leveraging the tools of set-valued analysis. In this con…
On the Viability and Invariance of Proper Sets under Continuity Inclusions in Wasserstein Spaces
Benoît Bonnet-Weill, Hélène Frankowska
In this article, we derive conditions for the existence of solutions to state-constrained continuity inclusions in Wasserstein spaces whose right-hand sides may be discontinuous in…
Carathéodory Theory and A Priori Estimates for Continuity Inclusions in the Space of Probability Measures
Benoît Bonnet-Weill, Hélène Frankowska
In this article, we extend the foundations of the theory of differential inclusions in the space of compactly supported probability measures, introduced recently by the authors, to…