Different from general dynamical complex networks, by using the Lur’e system method in control theory, different synchronization conditions for dynamical complex networks

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.