Convergence Behavior Analysis of Directed Signed Networks Subject to Nonidentical Topologies

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. F...

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Bibliographic Details
Published in:IEEE transactions on automatic control Vol. 66; no. 2; pp. 872 - 879
Main Authors: Meng, Deyuan, Du, Mingjun, Liang, Jianqiang
Format: Journal Article
Language:English
Published: New York IEEE 01.02.2021
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Convergence
Eigenvalues and eigenfunctions
Graph theory
Indexes
Multi-agent systems
Network topology
Networks
Nonidentical topology
polarization
sign-consistency
signed network
structural balance
Topology
Zinc
ISSN:0018-9286, 1558-2523
Online Access:Get full text
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Summary: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.
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ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2020.2994897