Convergence Behavior Analysis of Directed Signed Networks Subject to Nonidentical Topologies

• 成果类型: Article
• 署名作者: Meng, Deyuan; Du, Mingjun; Liang, Jianqiang
• 署名单位: Beihang University; Beihang University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2020.2994897
• 发表日期: 2021
• 页码: 872-879
• 关键词: Nonidentical topology; polarization; sign-consistency; signed network; structural balance

摘要

This article addresses the behavior analysis problems for directed signed networks that involve cooperative-antagonistic interactions among agents. Of particular interest is to explore the convergence behaviors of directed signed networks with agents of mixed first-order and second-order dynamics. Furthermore, the agents are subject to nonidentical topologies represented by two different signed digraphs that have a strongly connected union. It is shown that when considering signed networks subject to sign-consistent nonidentical topologies, polarization (respectively, neutralization) can be achieved if and only if the union of two signed digraphs is structurally balanced (respectively, unbalanced). By comparison, signed networks can always be guaranteed to become neutralized in the presence of sign-inconsistent nonidentical topologies.