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Cluster synchronization in complex dynamical networks via comparison principle

This paper focuses on the problem of cluster synchronization of a class of complex dynamical networks. Based on impulsive control theory and a comparison theorem, generic criteria for cluster synchronization are derived. It is shown that these criteria provide a novel and effective control approach to synchronize a general dynamical network to a cluster synchronization manifold by exposing the relationship between cluster synchronization, the impulsive intervals, and the graph topology.