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 this end …

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 the …

In this paper we consider a measure-theoretical formulation of the training of NeurODEs in
the form of a mean-field optimal control with L 2-regularization of the control. We derive first …

Several optimal control problems in, like systems with uncertainty, control of flock dynamics,
or control of multiagent systems, can be naturally formulated in the space of probability …

The paper addresses an optimal ensemble control problem for nonlocal continuity equations
on the space of probability measures. We admit the general nonlinear cost functional, and …

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 …

In this article, we investigate some of the fine properties of the value function associated with
an optimal control problem in the Wasserstein space of probability measures. Building on …

We consider the optimal control of a finite population of hybrid processes (namely agents
state is composed of a discrete and a continuous variable), modeling the optimal charging of …

This paper is focused on the mathematical modeling and solution of the optimal charging of
a large population of identical plug-in electric vehicles (PEVs) with mixed state variables …

We show the existence of Lipschitz-in-space optimal controls for a class of mean-field
control problems with dynamics given by a non-local continuity equation. The proof relies on …