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arXiv · 2303.04877

Optimal control problems in transport dynamics with additive noise

Stefano Almi·Marco Morandotti·Francesco Solombrino
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Abstract

Motivated by the applications, a class of optimal control problems is investigated, where the goal is to influence the behavior of a given population through another controlled one interacting with the first. Diffusive terms accounting for randomness in the evolution are taken into account. A well-posedness theory under very low regularity of the control vector fields is developed, as well as a rigorous derivation from stochastic particle systems.

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Stefano Almi, Marco Morandotti, Francesco Solombrino. 2023-03-08. Optimal control problems in transport dynamics with additive noise. https://arxiv.org/abs/2303.04877

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