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 a large population of identical plug-in electric vehicles (PEVs). We prove the convergence of the solution and that of the value of a sequence of finite population problems respectively to a solution and the value of a mean field optimal control problem.

中文翻译：

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智能充电中连续性方程最优控制问题的平均场逼近

我们考虑有限群体混合过程的最优控制（即代理状态由离散变量和连续变量组成），对大量相同插电式电动汽车（PEV）的最优充电进行建模。我们证明了一系列有限总体问题的解和值分别收敛于平均场最优控制问题的解和值。