Exponential synchronization of dynamical delayed complex networks consisting of Lur´e systems

This paper deals with the exponential synchronization problem for a class of dynamical delayed complex networks with each node being a general Lur´e system. The network model considered can represent both the directed and undirected weighted networks. Based on the Lyapunov stability theory and property of the coupling matrix, the delay-dependent linear controllers are designed and the controlled networks are globally exponentially synchronized with a given convergence rate. A dynamical delayed complex network composed of identical Chua´s circuits is adopted as a numerical example to demonstrate the effectiveness of the proposed results.