For a general linear multi-agent system (MAS) with directed communication topology, based on second-order neighbours' information, we establish its consensus criteria under intermittent control, which is more difficult to study due to the fact that the Laplacian matrix corresponding to the directed topology is an asymmetric matrix. In our study, both the weights of first-order and second-order neighbours need to be designed as parameters. Using switched system theory and Lyapunov function method, we prove that the intermittent control protocol based on second-order neighbours' information can make MASs achieve consensus faster than the common intermittent control protocol under certain conditions. Furthermore, we extend the results from MASs without leader to MASs with leader. Finally, numerical examples are provided to verify the effectiveness of our results.

对于具有定向通信拓扑的一般线性多智能体系统（MAS），基于二阶邻居信息，我们建立了间歇控制下的共识标准，由于拉普拉斯矩阵对应于有向拓扑是一个非对称矩阵。在我们的研究中，一阶和二阶邻居的权重都需要设计为参数。利用切换系统理论和李雅普诺夫函数方法，我们证明了基于二阶邻居信息的间歇控制协议可以使MAS在一定条件下比普通间歇控制协议更快地达成共识。此外，我们将结果从没有领导者的 MAS 扩展到有领导者的 MAS。最后，