In this paper, the inner synchronisation of stochastic impulsive coupled systems with multi-links (SISM) is investigated. The feedback control based on discrete-time state observations, impulsive effects and multiple links are added to stochastic coupled systems simultaneously for the first time. Instead of the mean-square exponential synchronisation, the pth ($p\ge 2$) moment exponential synchronisation is studied. A main theorem is proposed by average impulsive interval approach, graph theory and Lyapunov method to ensure the pth moment exponential synchronisation of SISM. Additionally, we apply the theoretical results to stochastic impulsive Rössler-like circuits with multi-links, which is the first attempt. Finally, a numerical example is provided to illustrate the effectiveness of the developed results.

在本文中，研究了具有多链接的随机脉冲耦合系统（SISM）的内部同步。首次将基于离散时间状态观测、脉冲效应和多环节的反馈控制同时加入到随机耦合系统中。代替均方指数同步，p th ($磷\ge 2$) 矩指数同步研究。利用平均脉冲区间法、图论和Lyapunov方法提出了一个主要定理来保证SSM的p阶矩指数同步。此外，我们将理论结果应用于具有多链路的随机脉冲类 Rössler 电路，这是第一次尝试。最后，提供了一个数值例子来说明所开发结果的有效性。