In this paper,the strong structural controllability of the leader-follower framework is discussed.Firstly,the authors analyze different edge augmentation methods to preserve the strong structural controllability of th...In this paper,the strong structural controllability of the leader-follower framework is discussed.Firstly,the authors analyze different edge augmentation methods to preserve the strong structural controllability of the path-bud topology.The following four cases are considered:Adding edges from the path to the bud;adding edges from the bud to the path;adding the reverse or forward edges to the path or bud;and adding both the reverse and forward edges to the path or bud.Then sufficient conditions are derived for the strong structural controllability of the new topologies which are generated by adding different edges.In addition,it is proved that rank[A B]=n is a necessary condition for the strong structural controllability.Finally,three examples are given to verify the effectiveness of the main results.展开更多
This paper addresses the leader selection problem for strong structural controllability(SSC)of multi-agent systems(MASs). For a path-bud graph, it is proved that only one leader is required to guarantee the SSC of MAS...This paper addresses the leader selection problem for strong structural controllability(SSC)of multi-agent systems(MASs). For a path-bud graph, it is proved that only one leader is required to guarantee the SSC of MASs. For a special type of topologies, based on the partition of the topology into disjoint pathes and path-buds, it is proved that the MASs is strongly structurally controllable if the root nodes of the pathes are selected as leaders. For general topologies, an algorithm is provided to determine the agents that can behave as leaders. For some special topologies, the minimum number of leaders guaranteeing the robust strong structural controllability(RSSC) of MASs is also obtained.Two examples are given to verify the effectiveness of the results.展开更多
基金supported by the National Natural Science Foundation of China under Grant Nos. 61873136 and 62033007Taishan Scholars Climbing Program of Shandong Province of ChinaTaishan Scholars Project of Shandong Province of China under Grant No. ts20190930
文摘In this paper,the strong structural controllability of the leader-follower framework is discussed.Firstly,the authors analyze different edge augmentation methods to preserve the strong structural controllability of the path-bud topology.The following four cases are considered:Adding edges from the path to the bud;adding edges from the bud to the path;adding the reverse or forward edges to the path or bud;and adding both the reverse and forward edges to the path or bud.Then sufficient conditions are derived for the strong structural controllability of the new topologies which are generated by adding different edges.In addition,it is proved that rank[A B]=n is a necessary condition for the strong structural controllability.Finally,three examples are given to verify the effectiveness of the main results.
基金supported by the National Natural Science Foundation of China under Grant Nos.61573105,61473081,61273110the Natural Science Foundation of Jiangsu Province under Grant No.BK20141341
文摘This paper addresses the leader selection problem for strong structural controllability(SSC)of multi-agent systems(MASs). For a path-bud graph, it is proved that only one leader is required to guarantee the SSC of MASs. For a special type of topologies, based on the partition of the topology into disjoint pathes and path-buds, it is proved that the MASs is strongly structurally controllable if the root nodes of the pathes are selected as leaders. For general topologies, an algorithm is provided to determine the agents that can behave as leaders. For some special topologies, the minimum number of leaders guaranteeing the robust strong structural controllability(RSSC) of MASs is also obtained.Two examples are given to verify the effectiveness of the results.
