Impulsive Stabilization for Control and Synchronization of Complex Networks with Coupling Delays

Abstract

In the paper, synchronization of a class of complex dynamical networks with time-varying coupling delays is considered. By establishing impulsive delay differential inequalities, sufficient conditions on the asymptotical stability of complex dynamical networks are derived. Based on the analysis, two impulsive controllers are explicitly designed not only to achieve asymptotically stable for the complex networks, but also to ensure the convergence rate of complex networks. At last, some numerical examples are also given to illustrate the effectiveness of the proposed methods.