Unified Synchronization Criteria for Hybrid Switching-Impulsive Dynamical Networks

This paper discusses the synchronization problem of hybrid switching-impulsive dynamical networks. By using the contraction theory, several unified criteria are obtained for network synchronization based on the conception of the average impulsive dwell-time. It is demonstrated that the synchronization property of the hybrid network depends not only on the network’s structure (i.e., topology), but also the node’s dynamics, and that such unified average dwell-time-based conditions are less conservative than some existing results. The numerical examples are presented to illustrate the effectiveness of the proposed results.