Synchronization analysis of complex delayed dynamical networks consisting of Lur´e systems

The paper is concerned with the problem of global synchronization for a class of dynamical complex network composed of general Lur´e systems, the network model can represent both the directed and undirected weighted networks. Based on the Lyapunov stability theory and property of the coupling matrix, the delay-independent decentralized nonlinear feedback controllers are designed to globally synchronize the network under the assumption that coupling coefficients are known. When coupling coefficients are unavailable, the delay-independent decentralized adaptive controllers are introduced to guarantee the global synchronization of the uncertain network. Two examples are given to demonstrate the effectiveness of proposed results.