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Synchronization of multi-weighted complex dynamical networks with fixed and switching topologies

The synchronization of multi-weighted complex dynamical networks with fixed and switching topologies is respectively investigated in this paper. Firstly, by putting to use Lyapunov functional approach and some inequality techniques, we establish a synchronization criterion for the multi-weighted complex dynamical network with fixed topology. In addition, the similar methods can be applied to get some sufficient conditions for synchronization of multi-weighted complex dynamical networks with switching topology. Finally, a numerical example is provided to show the correctness of the acquired synchronization criteria.