Synchronization of Stochastic Complex Networks Using Nonlinear Optimal Control

This paper presents a theoretical design of how an optimal synchronization is achieved for stochastic complex networks. The methodology is developed to guarantee that all nodes of a complex network influenced by uncertain noises synchronize with the target node. The formulation of a decentralized optimal controller is rigorously derived by using Lyapunov technique and the associated Hamilton-Jacobi-Isaacs (HJI) equation for a unified model of complex networks. To verify the analytical results, a numerical example is given to demonstrate the effectiveness of the proposed approach, which is simple and easy to implement in reality.