标题：The Differences between Completely Connected Cells and Incompletely Connected Cells on Controllability
作者：Qu, Jijun; Ji, Zhijian; Ma, Huizi; Qi, Qingyuan
作者机构：[Qu, Jijun; Ji, Zhijian; Qi, Qingyuan] Qingdao Univ, Coll Automat, Qingdao, Shandong, Peoples R China.; [Ma, Huizi] Shandong Univ Sci & Technol, Col 更多
会议名称：28th IEEE International Symposium on Industrial Electronics (IEEE-ISIE)
会议日期：JUN 12-14, 2019
来源：2019 IEEE 28TH INTERNATIONAL SYMPOSIUM ON INDUSTRIAL ELECTRONICS (ISIE)
关键词：multi-agent systems; controllability; equitable partition; automorphism
摘要：In this paper, we study the controllability of multi-agent systems under equitable partition and automorphism. For the different number of communication links between nontrivial cells, there are two classes of nontrivial cells, one is complete connected nontrivial cells, another is incomplete connected nontrivial cells, which takes different affections on controllability. The nontrivial cells with odd nodes and even nodes also take different affections on controllability. Assume there are automorphisms of graph 9, then if the positions of the entries in eigenvector x of L are changed, it still be the eigenvectors of L, so that there are some eigenvector x existing 0 entries, and we can analyze the controllability by studying the position of zero entries. Besides, by equitable partition and automorphism, we give new necessary conditions for controllability of multi-agent systems.