Agreements of Nonlinear Opinion Dynamics in Switching Social Networks

• 成果类型: Article
• 署名作者: Lee, Ti-Chung; Su, Youfeng
• 署名单位: National Sun Yat Sen University; Fuzhou University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2024.3353681
• 发表日期: 2024
• 页码: 4174-4181
• 关键词: Switches; mathematical models; Analytical models; steady-state; Limiting; Laplace equations; agreement; joint connectivity; opinion dynamics; social networks; Switched systems

摘要

This article formulates and analyzes agreements of the nonlinear opinion dynamics in social networks according to switching interactions, where the agents' susceptibilities depend on current states. These switching interactions are formulated by switching directed graphs with some mild joint connectivity, and depicted by nonlinear switching model. An extended LaSalle invariance principle is established for analyzing the agreements of this switching model as well as three specialized scenarios, where the limiting equations formed by the weak* convergence are used to study the steady-state behavior so that the stability analysis is substantially simplified in the sense that the max - min Lyapunov function may be assumed to be constant along any bounded forward complete solutions of limiting equations. Examples and simulations are used to verify the obtained results.