The Synchronization Control for a Kind of Complex Dynamical Networks

In this paper, we consider the synchronization control for a kind of complex dynamical networks which are composed of some dynamical subsystems. Based on the stripping principle, we design, for each node, the integral feedback with variable gain so that the interconnected parts, uncertainties and disturbances can be removed or eliminated. Then we use error feedback control without concerning all those disturbances. In such a way, we turn the problem of networked synchronization control into that of decentralized control. Therefore, with little restrictions to the structure of networked systems and using a simple control method, we can get satisfactory synchronization control results even for synchronizing the signals which are with the features of non-smooth or chaotic. The theoretical analysis and simulation results are shown to indicate the effectiveness.