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.