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This paper is concerned with applying the impulsive control scheme to generalized synchronization (GS) of complex networks of nonlinear dynamical systems. The auxiliary-system approach is utilized to show that complex dynamical networks consisting of nonidentical systems can reach generalized synchronization under impulsive control. Then the relations between the GS error and the topological parameter are examined for scale-free networks, which reveals that an increase in the topological parameter causes a decrease in the GS error. Also, the relations between the GS speed and the adding of random edges are investigated for small-world networks, which shows that increasing the probability of adding random edges can accelerate GS. Moreover, the effect of node dynamics on the GS speed is studied for both small-world and scale-free networks.