Synchronization of switched complex dynamical networks with non-synchronized subnetworks and stochastic disturbances

In this paper, the global synchronization problem of switched complex dynamical networks (SCDNs) with stochastic disturbances is investigated. Different from the existing results concerning synchronization of switched complex networks, all the subnetworks of the SCDNs here are not self-synchronized. Based on the dwell time approach and the discretized Lyapunov function technique, a sufficient synchronization criterion is obtained in term of linear matrix inequalities (LMIs) and the corresponding switching signal is obtained. The obtained switching signal depends on time rather than the system states, which makes it easier to be implemented. Finally, two examples are provided to illustrate the effectiveness of the theoretical results.