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| Graph-theoretic Conditions for Target Controllability of Multi-agent System in Undirected Topology |
| JI Ya′nan, JI Zhijian
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| Qingdao University a. School of Automation; b. Shandong Key Laboratory of Industrial Control Technology, Qingdao 266071, China |
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Abstract 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 systems 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 analyses 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-agent 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.
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Received: 06 December 2022
Published: 03 January 2025
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