Synchronization of complex network with delayed nodes via proportional-derivative control

Over the last two decades, synchronization, as a typical collective behavior in complex networks, has received an increasing attention. To reveal the inherent mechanism of synchronization in complex networks with delayed nodes, this paper aims at developing a novel synchronization approach by using the PD control strategy. Based on a classical network model, we investigate the synchronization of complex networks with delayed nodes under PD control strategy and obtain several sufficient conditions for global synchronization. In particular, the addition of derivative action may make the network achieve synchronization better than the traditional strategies. Finally, a simulation example is provided to verify the effectiveness of the proposed theoretical results.