Abstract Cluster synchronization of nonlinear uncertain complex networks with desynchronizing impulse is explored. First of all, a feedback controller is employed, based on the Lyapunov stability theorem and Lipschitz condition, to guarantee that the uncertain complex networks with desynchronizing impulse synchronize with an object trajectory. Furthermore, a synchronizing impulse controller is presented, which is more efficiently and directly used to achieve the cluster synchronization. Finally, numerical examples are examined to show the effectiveness of the proposed methods.
Fund: Project supported by the National Natural Science foundation of China (Grant Nos. 51276081 and 11326193) and the Students' Research Foundation of Jiangsu University, China (Grant Nos. Y13A127 and 12A415).
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