Adaptive-impulsive synchronization of complex dynamical networks with delays

This paper investigates the adaptive-impulsive synchronization of complex dynamical networks with two types of constant delays. Based on the stability analysis of impulsive control system, sufficient condition for the synchronization is derived and a hybrid controller, namely, an adaptive-feedback controller with impulsive control effects is designed. From another perspective, if the model is considered as a delayed network with pulse interference, then control strategy is only adaptive control. Numerical examples are presented to show the effectiveness of the presented method and the allowed upper bound for the time delays is given for the example.