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研究了具有时变时延的二阶多智能体系统的一致性问题,在通讯拓扑为有向图的前提下,讨论了两种情况的一致性问题.首先,对于固定的有向网络拓扑,假设有向图含有一颗生成树的前提下,研究了具有时变时延的二阶多智能体系统的一致性问题;然后,对于切换的有向网络拓扑,讨论了具有时变时延的二阶多智能体系统的一致性问题.针对于上述两种情况,通过LMI的方法分别给出了系统渐进稳定的条件.仿真例子证明了该方法的有效性.
The consistency problem of second-order multi-agent systems with time-varying delay is studied. Under the premise that the topology of the communication is directed graph, the consistency of the two cases is discussed.Firstly, for a fixed directed network topology, Assuming the directed graph contains a spanning tree, we study the consistency problem of second-order multi-agent systems with time-varying delays. Then, we discuss the time-varying delay For the above two cases, the conditions for the system to be asymptotically stable are given respectively by LMI methods, and simulation examples show the effectiveness of the proposed method.