Aperiodically intermittent pinning discrete-time observation control for exponential synchronization of stochastic multilayer coupled systems

In this paper, the exponential synchronization of stochastic multilayer coupled systems via aperiodically intermittent pinning control is fully considered. It is worth noting that the aperiodically intermittent pinning control is based on discrete-time state observation rather than continuous observation during the work time, which is an extension of existing literature. Furthermore, the intermittent control only need to control a fraction of the system nodes. Then, with the aid of Lyapunov method and stochastic analysis techniques, several sufficient conditions are explicitly obtained. In this case, a corollary is given to show that the average control rate method relaxes the constraints on lower or upper boundedness of control/rest widths of intermittent control. Finally, an application with respect to the exponential synchronization of Chua's circuits and a numerical example are provided to validate the effectiveness of our main results.