Convergence behaviors of nonlinear polar opinion dynamics in cooperative-antagonistic social networks

IF 5.9 2区计算机科学 Q1 AUTOMATION & CONTROL SYSTEMS

Automatica Pub Date : 2025-09-30 DOI:10.1016/j.automatica.2025.112627

Ti-Chung Lee , Ying Zhang , Youfeng Su , Iven Mareels

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Abstract

This paper investigates two kinds of convergence behaviors of nonlinear polar opinion dynamics over cooperative-antagonistic social networks determined by signed graphs. The first problem studies the neutralization of opinions over strongly connected and structurally unbalanced signed graphs, while the second problem focuses on the containment convergence to external stubborn agents over signed graphs under a variety of connectivity constraints. It is observed that various connectivity conditions induce the common intrinsic property that the involved generalized opposing Laplacian matrix is nonsingular. A stability framework is proposed that addresses both the existence of potential limiting behaviors as well as their convergence properties. This involves an analysis of the positiveness of the (opinion) susceptibility functions. The domains of attraction associated with the convergent behaviors are characterized. The solvability of both problems is provided, and the attracting domains are characterized precisely. The results are applied to blended social networks composed of three specialized opinion models. Simulations and comparisons are provided to illustrate the effectiveness of the paper’s results.

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合作-对抗社会网络中非线性极性意见动态的收敛行为

研究了由符号图决定的合作-对抗社会网络上非线性极性意见动态的两种收敛行为。第一个问题研究了强连接和结构不平衡签名图上意见的中和，第二个问题研究了各种连接约束下签名图上对外部顽固代理的包容收敛。观察到，各种连通性条件都推导出所涉及的广义对偶拉普拉斯矩阵非奇异的共同内在性质。提出了一种稳定性框架，既考虑了潜在极限行为的存在性，又考虑了它们的收敛性。这涉及对（意见）敏感性函数的积极性的分析。描述了与趋同行为相关的吸引域。给出了这两个问题的可解性，并对吸引域进行了精确表征。结果应用于由三种专业意见模型组成的混合社会网络。仿真和比较表明了本文研究结果的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Automatica 工程技术-工程：电子与电气

CiteScore

10.70

自引率

7.80%

发文量

617

审稿时长

5 months

期刊介绍： Automatica is a leading archival publication in the field of systems and control. The field encompasses today a broad set of areas and topics, and is thriving not only within itself but also in terms of its impact on other fields, such as communications, computers, biology, energy and economics. Since its inception in 1963, Automatica has kept abreast with the evolution of the field over the years, and has emerged as a leading publication driving the trends in the field. After being founded in 1963, Automatica became a journal of the International Federation of Automatic Control (IFAC) in 1969. It features a characteristic blend of theoretical and applied papers of archival, lasting value, reporting cutting edge research results by authors across the globe. It features articles in distinct categories, including regular, brief and survey papers, technical communiqués, correspondence items, as well as reviews on published books of interest to the readership. It occasionally publishes special issues on emerging new topics or established mature topics of interest to a broad audience. Automatica solicits original high-quality contributions in all the categories listed above, and in all areas of systems and control interpreted in a broad sense and evolving constantly. They may be submitted directly to a subject editor or to the Editor-in-Chief if not sure about the subject area. Editorial procedures in place assure careful, fair, and prompt handling of all submitted articles. Accepted papers appear in the journal in the shortest time feasible given production time constraints.