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.