43 citations · 73 across the 16 of their papers we have counts for
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math.OC2021★ 15 cited
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…
math.OC2021
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…
math.OC2021
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…