This paper focuses on exponential synchronization of complex networks controlled by aperiodically intermittent noise with time delays. An aperiodically intermittent controller is designed to synchronize complex networks and the interval of intermittent rate is derived. Delay observations on the state of noise are made and the upper bound of time delays is obtained. A sufficient condition for exponential synchronization of the underlying systems is derived. Moreover, the auxiliary networks without time delays are introduced and the sufficient criterion for stochastic synchronization of the networks is also obtained. The comparison principle plays a significant role in synchronizing complex networks in this paper. An example is given to demonstrate the feasibility and effectiveness of the new approaches.

本文关注由具有时间延迟的非周期性间歇噪声控制的复杂网络的指数同步。非周期性间歇控制器设计用于同步复杂网络，并得出间歇率的间隔。对噪声状态进行了延迟观察，并获得了时延的上限。得出了底层系统指数同步的充分条件。此外，引入了无时间延迟的辅助网络，并获得了网络随机同步的充分判据。比较原理在同步复杂网络中起着重要作用。举例说明了新方法的可行性和有效性。