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