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无向拓扑下多智能体系统目标能控的图论条件

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基于多智能体系统良好的应用前景,研究了无向加权拓扑下一类特殊一般线性多智能体系统目标能控的图论条件.利用图论和矩阵论知识,得到了系统目标能控的充分条件.然后,通过实例分析得到了系统目标能控的充要条件.结果显示在领导者-跟随者连通拓扑下,多智能体系统是目标能控的当且仅当含有跟随者目标节点的连通分量是目标能控的,并且同样的结论适用于非领导者-跟随者连通拓扑.
Graph-theoretic Conditions for Target Controllability of Multi-agent System in Undirected Topology
Based on the good application prospects of multi-agent systems,we study the graph-theoretic conditions of target controllability for a class of special general linear multi-agent sys-tems under undirected weighted topology.By using the knowledge of graph and matrix theory,a sufficient condition for the target controllability of the system is obtained.Then,through the an-alyses on actual examples,we obtain a necessary and sufficient condition of target controllability for the system.The results show that under the leader-follower connected topology,the multi-a-gent system is target controllable if and only if the connected component containing the follower target nodes is target controllable,and the same conclusion applies to the non leader-follower connected topology.

multi-agent systemtarget controllabilityundirected topologyleader-follower con-nected topology

纪亚楠、纪志坚

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青岛大学自动化学院,山东青岛 266071

青岛大学山东省工业控制技术重点实验室,山东青岛 266071

多智能体系统 目标能控性 无向拓扑 领导者-跟随者连通拓扑

2024

复杂系统与复杂性科学
青岛大学

复杂系统与复杂性科学

CSTPCD北大核心
影响因子:0.798
ISSN:1672-3813
年,卷(期):2024.21(4)