This paper studies the consensus of continuous-time/discrete-time general linear multi-agent systems (MASs) with intermittent communications under a directed graph, respectively. By using algebraic graph theory and matrix theory, the equivalence between stabilisation and simultaneous stabilisation is analysed under different agents' dynamics (continuous-time or discrete-time) and network topology (undirected or directed graph). Simultaneously, we give the design methods of control gain matrices and weights. Then, by the average dwell time method of switched system theory, some sufficient consensus criteria for continuous-time/discrete-time general linear MASs are established, respectively. Finally, numerical examples are provided to verify the effectiveness of our results.

中文翻译：

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具有间歇通信的一般线性多智能体系统的共识

本文分别研究了在有向图下具有间歇通信的连续时间/离散时间通用线性多智能体系统（MAS）的一致性。通过使用代数图论和矩阵理论，在不同代理的动力学（连续时间或离散时间）和网络拓扑（无向图或有向图）下分析了稳定和同时稳定之间的等价性。同时给出了控制增益矩阵和权重的设计方法。然后，通过切换系统理论的平均停留时间方法，分别为连续时间/离散时间一般线性MAS建立了一些足够的共识标准。最后，提供了数值例子来验证我们结果的有效性。