Journal ArticleTurnpike Properties for Mean-Field Linear-Quadratic Optimal Control ProblemsSun, Jingrui; Yong, JiongminThis paper is concerned with an optimal control problem for a mean-field linear stochastic differential equation with a quadratic functional in the infinite time horizon. Under suitable conditions, including the stabilizability, the (strong) exponential, integral, and mean-square turnpike properties for the optimal pair are established. The keys are to correctly formulate the corresponding static optimization problem and find the equations determining the correction processes. These have revealed the main feature of the stochastic problems which are significantly different from the deterministic version of the theory.SIAM2024-02-2910499998SIAM Journal on Control and Optimization621752 to 7750363-0129https://doi.org/10.1137/22M15241872305475National Science Foundation