Pinning cluster synchronization of lur'e dynamical networks: A convex domain method
Ze Tang, Ju H. Park, Ho-Youl Jung · 2017 IEEE Conference on Control Technology and Applications (CCTA) · 2017
This paper discusses the cluster synchronization problem of complex dynamical networks consisted of Lur'e systems. Since the special topology structure of the complex network and the existence of stochastic phenomena, a kind of randomly occurring pinning controller is designed which not only synchronizes all Lur'e systems in the same cluster but also decreases the influence among different clusters. Based on the extended integral inequality, the convex combination theorem and S-procedure, the conditions for successful cluster synchronization of identical Lur'e networks are derived in a convex domain. Finally, we present a numerical example to demonstrate the validity of the control scheme and the theoretical analysis.