摘要
This paper is concerned with a class of mean-field type stochastic optimal control systems,which are governed by fully coupled mean-field forward-backward stochastic differential equations with Teugels martingales associated to Lévy processes.In these systems,the coefficients contain not only the state processes but also their marginal distribution,and the cost function is of mean-field type as well.The necessary and sufficient conditions for such optimal problems are obtained.Furthermore,the applications to the linear quadratic stochastic optimization control problem are investigated.
基金
supported by the Major Basic Research Program of Natural Science Foundation of Shandong Province under Grant No.2019A01
the Natural Science Foundation of Shandong Province of China under Grant No.ZR2020MF062。
