Mean field approximation of an optimal control problem for the continuity equation arising in smart charging
Seguret, Adrien (2023), Mean field approximation of an optimal control problem for the continuity equation arising in smart charging, Applied Mathematics and Optimization, 88, 79. 10.1007/s00245-023-10054-w
TypeArticle accepté pour publication ou publié
External document linkhttps://hal.science/hal-03910634
Journal nameApplied Mathematics and Optimization
MetadataShow full item record
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Abstract (EN)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.
Subjects / KeywordsOptimal control; hybrid state space; mean-field limit
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