This article introduces a kind of aperiodically sampled-data intermittent control to investigate the synchronization issue of stochastic multi-links network. Therein, the sampling intervals are variable in the aperiodically intermittent control, while the actuator saturation is taken into consideration. Distinguish from previous control methods, by combining with the advantages of both the sampled-data and actuator saturating control and the aperiodically actuator saturating intermittent control, we design the sampled-data and actuator saturating intermittent control. Meanwhile, the aperiodically sampled-data intermittent control and the sampled-data and actuator saturating control are used to settle the synchronization problem of stochastic multi-links network. After that, some sufficient conditions are obtained based on Lyapunov method, some techniques of inequalities and a graph-theoretic approach. The control law is determined simultaneously, which depends on the coupling strength, the perturbed intensity of noise, the upper and lower bounds of sampling intervals, the lower bound of intermittent control intervals and the maximum rest time ratio. Then, our theoretical results are used in the synchronization issue of stochastic multi-links Chua’s circuits network. Ultimately, a numerical example is presented to illustrate the validity of the theoretical results.

本文介绍了一种非周期采样数据间歇控制来研究随机多链路网络的同步问题。其中，非周期性间歇控制中的采样间隔是可变的，同时考虑了执行器饱和。与以往的控制方法不同，结合采样数据和执行器饱和控制和非周期性执行器饱和间歇控制的优点，我们设计了采样数据和执行器饱和间歇控制。同时，采用非周期性采样数据间歇控制和采样数据与执行器饱和控制来解决随机多链路网络的同步问题。之后，基于Lyapunov方法得到一些充分条件，一些不等式技术和图论方法。控制律是同时确定的，取决于耦合强度、噪声扰动强度、采样间隔的上下界、间歇控制间隔的下界和最大休息时间比。然后，我们的理论结果被用于随机多链路蔡氏电路网络的同步问题。最后，给出了一个数值例子来说明理论结果的有效性。我们的理论结果被用于随机多链路蔡氏电路网络的同步问题。最后，给出了一个数值例子来说明理论结果的有效性。我们的理论结果被用于随机多链路蔡氏电路网络的同步问题。最后，给出了一个数值例子来说明理论结果的有效性。