Consensus of Second-order Matrix-weighted Multi-agent Networks

被引：0
|
作者：
Wang, Chongzhi [1 ,2 ]
Pan, Lulu [1 ,2 ]
Li, Dewei [1 ,2 ]
Shao, Haibin [1 ,2 ]
Xi, Yugeng [1 ,2 ]
机构：
[1] Shanghai Jiao Tong Univ, Dept Automat, Shanghai 200240, Peoples R China
[2] Shanghai Jiao Tong Univ, Key Lab Syst Control & Informat Proc, Minist Educ China, Shanghai 200240, Peoples R China
来源：
16TH IEEE INTERNATIONAL CONFERENCE ON CONTROL, AUTOMATION, ROBOTICS AND VISION (ICARCV 2020) | 2020年
基金：
上海市自然科学基金; 美国国家科学基金会;
关键词：
Matrix-weighted networks; bipartite consensus; second-order multi-agent system; structural balance; AGENTS;
D O I：
10.1109/icarcv50220.2020.9305509
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper investigates consensus problem of second-order multi-agent system on matrix-weighted networks. It is shown that when the null space of the Gauge transformed graph Laplacian is spanned by the Kronecker product of an all-one vector and a set of orthogonal vectors, the algebraic multiplicity of eigenvalue zero cannot exceed the nullity of the graph Laplacian, thus admitting a proper blocking of the system matrix's Jordan normal form. Second-order bipartite consensus is thereby achieved independent of the structural balance of the network. Simulation examples are provided to demonstrate the theoretical results.
引用
收藏
页码：590 / 595
页数：6
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