Lag quasi-synchronization of nonlinear coupled networks via aperiodically intermittent pinning control

Abstract

The lag quasi-synchronization of nonlinear coupled networks with time-varying delay in the presence of parameter mismatches by using aperiodically intermittent pinning control is investigated in this paper. This paper has two main differences with previous works: one is that the type of the intermittent pinning control is aperiodic while that in previous works is periodic; the other is that the coupling function we choose is nonlinear. By utilizing the aperiodically intermittent pinning control idea, we pin the coupled networks by a simple controller to achieve the lag quasi-synchronization. Several sufficient criteria are obtained to guarantee lag quasi-synchronization. At last, some simulations are presented to verify the correctness of the obtained theoretical results.