Strong Structural Controllability Based on Leader-Follower Framework  

作　　者：QI Wei JI Zhijian LIU Yungang LIN Chong 

机构地区：[1]Insitute of Complexity Science,College of Automation,Qingdao University,Qingdao 266071,China [2]Shandong Key Laboratory of Industrial Control Technology,Qingdao University,Qingdao 266071,China [3]School of Control Science and Engineering,Shandong University,Jinan 250061,China

出　　处：《Journal of Systems Science & Complexity》2023年第4期1498-1518,共21页系统科学与复杂性学报（英文版）

基　　金：supported by the National Natural Science Foundation of China under Grant Nos. 61873136 and 62033007;Taishan Scholars Climbing Program of Shandong Province of China;Taishan Scholars Project of Shandong Province of China under Grant No. ts20190930

摘　　要：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.

关 键 词：Edge augmentation leader-follower framework path-bud topology strong structural controllability 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]