牵制控制下的复杂Lur'e网络簇同步

In this paper, the cluster synchronization problem of complex Lur'e networks is investigated. By using a pinning control strategy, sufficient conditions in terms of linear matrix inequalities (LMIs) are first established to realize cluster synchronization of the Lur'e dynamical networks. Then, a sufficient condition in the frequency domain is also formulated in the framework of the absolute stability theory. Furthermore, the notion of the cluster synchronized region is introduced, and a necessary and sufficient condition guaranteeing an unbounded cluster synchronized region is derived. Finally, a numerical example illustrates the effectiveness of the theoretical results.