Pinning complex-valued complex network via aperiodically intermittent control

This paper presents the exponential synchronization of complex dynamical networks, in which the dynamics of nodes is complex-valued, the interactions among of the nodes are directed, and subject to time-varying delays. The aperiodically intermittent pinning control is proposed to achieve synchronization. Based on the Lyapunov functional method, complex-valued differential equations, stability theory, matrix theory and modern control technique, some novel sufficient conditions are derived to guarantee exponential synchronization of the proposed complex-valued dynamical directed networks. To illustrate the effectiveness of the theoretical results, some numerical examples are finally given.