Receding horizon control for continuous‐time mean‐field systems

Abstract

In this paper, we study the receding horizon control (RHC) stabilization of continuous‐time mean‐field system. An explicit RHC controller is obtained by introducing a cost function with two terminal matrices and the conditions that make the system stable are also obtained; that is, when two coupled Lyapunov inequalities are satisfied, the system controlled by RHC is stabilized. Finally, a simulation example is given to verify the effectiveness of the proposed strategy.