Bipartite Consensus Problems on Second-Order Signed Networks With Heterogeneous Topologies

IEEE Access

Mingjun Du¹  Jianheng Ling²  Jianqiang Liang² 

[1] School of Electrical Engineering and Automation, Qilu University of Technology (Shandong Academy of Science), Jinan, China;The Seventh Research Division, Beihang University (BUAA), Beijing, China;

关键词: Bipartite consensus;    eigenvalue analysis;    heterogeneous topology;    signed network;    structural balance;   

DOI  :  10.1109/ACCESS.2020.2974288

来源: DOAJ

【 摘 要 】

This paper is devoted to the convergence problem for second-order signed networks that are associated with two signed graphs in the presence of heterogeneous topologies. An eigenvalue analysis approach is presented to develop convergence results for second-order signed networks, which employs a sign-consistency property for signed graph pairs. When the sign-consistency of two heterogeneous signed graphs and the connectivity of their union are given, bipartite consensus (respectively, state stability) can be derived for second-order signed networks if and only if the union signed graph is structurally balanced (respectively, unbalanced). Two examples are provided to illustrate the effectiveness of the obtained results.

【 授权许可】

Unknown