Quasi-synchronization analysis for nonlinearly-coupled complex networks with an asymmetrical coupling matrix via aperiodically intermittent pinning control

Abstract

In this paper, the quasi-synchronization of a class of nonlinearly-coupled complex networks is studied. Different from the previous works, a distinguishing characteristic of this work is that the coupling matrix of nonlinear coupled networks is asymmetrical. The effect of time-varying delay in dynamical networks is also considered. By utilizing the aperiodically intermittent pinning control technique, some more general sufficient conditions to guarantee global quasi-synchronization are derived. Finally, a numerical simulation is presented to demonstrate the efficiency of the theoretical findings.