Convergence Behavior Analysis of Directed Signed Networks Subject to Nonidentical Topologies

Autor: Meng, Deyuan, Du, Mingjun, Liang, Jianqiang
Rok vydání: 2019
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1109/TAC.2020.2994897
Popis: This paper 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. Further, 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.
Comment: Accepted for publication in IEEE TAC
Databáze: arXiv