Synchronization of a class of dynamical complex networks with nonsymmetric coupling based on decentralized control

In this paper, the synchronization problem for dynamical complex networks composed of general Lur´e systems is dealt with. Based on the Jordan canonical transformation method and a Lur´e-Postnikov function, the global synchronization criteria for dynamical complex networks with non-symmetric coupling are established and formulated as LMI. A decentralized control strategy based on projection lemma and Lur´e-Postnikov function is proposed in order to reduce the conservativeness. A dynamical complex network composed of identical Chua´s oscillators is adopted as a numerical example to demonstrate the effectiveness of the proposed results.