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Synchronization via pinning control on heterogeneous dynamical networks

The paper studies synchronization via pinning control on heterogeneous dynamical networks. A sufficient criterion for ensuring synchronization of the heterogeneous complex network is given. By introducing a virtual synchronization target and designing a pinning controller, the paper proves that the heterogeneous dynamical networks can reach quasi-synchronization, which contains the case of synchronization with the virtual synchronization target. Some simulations are given to illustrate the theoretical result.