Quasi-Synchronization in Heterogeneous Delayed Multiplex Networks Via Impulsive Control

In this paper, the quasi-synchronization problem of the multiplex networks is investigated by impulsive scheme. First, a heterogeneous multiplex network with time delays is considered. Second, a leader is introduced in order to construct the synchronization errors between the nodes in the multiplex networks and the leader. Third, an impulsive control is designed, and based on the comparison theorem for delayed impulsive systems, the sufficient condition for achieving quasi-synchronization in the multiplex networks is obtained. Finally, a numerical simulation with a two-layer multiplex network is selected to verify the effectiveness of the theoretical results.