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

• Main Authors: Jianheng Ling, Jianqiang Liang, Mingjun Du
• Format: Article
• Language: English
• Published: IEEE 2020-01-01
• Series: IEEE Access
• Subjects: Bipartite consensus; eigenvalue analysis; heterogeneous topology; signed network; structural balance
• Online Access: https://ieeexplore.ieee.org/document/9000559/

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.