Synchronization of multi-stochastic-link complex networks via aperiodically intermittent control with two different switched periods

This paper investigates the exponential synchronization problem for a class of multi-stochastic-link complex networks via novel aperiodically intermittent control approaches with two different switched periods, i.e. the control width and rates of control duration are different in each switched period. Firstly, we consider a general multi-stochastic-link model, it means that there is more than one edge between two nodes and the links among the nodes are perturbed by stochastic noises. The delay terms comprise both discrete and distributed delays. Furthermore, the multi-stochastic-link complex networks can be thought of consisting of many stochastic sub-networks with different time delays. Two new aperiodically intermittent control schemes are developed by virtue of the Lyapunov stability theory and pinning intermittent control techniques. Several novel and useful synchronization criteria are obtained, which guarantee global exponential synchronization of multi-stochastic-link complex networks in the mean square. Finally, two numerical examples are given to illustrate the effectiveness of the proposed method.