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• W4384993194 abstract "Motivated by the applications in leader-follower multi-agent dynamics, 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. The evolution of the systems obeys a non-linear Fokker–Planck-type equation as 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 mean-field limit of a stochastic particle approximation." @default.
• W4384993194 created "2023-07-22" @default.
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• W4384993194 date "2023-11-01" @default.
• W4384993194 modified "2023-10-16" @default.
• W4384993194 title "Optimal control problems in transport dynamics with additive noise" @default.
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• W4384993194 doi "https://doi.org/10.1016/j.jde.2023.07.010" @default.
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