Exponential synchronization of nonlinear complex dynamic networks via intermittent pinning control on time scales

This paper mainly discusses exponential synchronization of nonlinear CDN via intermittent pinning control on T. By using Lyapunov and time scales theory, a novel sufficient condition to guarantee the synchronization of CDNs is obtained. The method of intermittent pinning control is adopted in designing controllers to ensure the realization of synchronization of CDNs. Unlike most existing results, our results are an extension of previous results, integral delay and coupling disturbance are considered in the time-delay nonlinear CDNs. Therefore, our results are less conservative but more persuasive. Moreover, our model can be applied not only to continuous/discrete CDNS, but also to mixed CDNs. Finally, we give numerical simulations to demonstrate the feasibility of our theory.