Robust synchronization of impulsively coupled complex dynamical network with delayed nonidentical nodes

In this paper, the problem of designing the hybrid control for synchronization of impulsively coupled complex dynamical network is investigated. A general delayed impulsively coupled network with nonidentical nodes and parameter uncertainties is presented. Based on a time varying Lyapunov function associated with the impulsive time sequence and Razumikhin technique, a convex combination technique is employed to obtain the global synchronization criteria in terms of linear matrix inequalities. The derived sufficient conditions for synchronization are closely related to the coupling structure of the network, the lower and upper bound of the adjacent impulsive instant difference, and the impulsive control input strength. The control scheme can be obtained by solving a set of linear matrix inequalities. Typical numerical examples are presented to demonstrate the validity of the theoretical results and the effectiveness of the control strategy.