Modulus Consensus for Time-Varying Heterogeneous Opinion Dynamics on Multiple Interdependent Topics

• 成果类型: Article
• 署名作者: Yang, Hongjiu; Cao, Jiang; Yuan, Yuan; Wang, Jin
• 署名单位: Tianjin University; Northwestern Polytechnical University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2023.3241829
• 发表日期: 2023
• 页码: 6913-6920
• 关键词: Antagonistic interpersonal interactions; heterogeneous opinion dynamics; influence networks; modulus consensus; multiple interdependent topics.

摘要

To investigate modulus consensus on multiple interdependent topics with heterogeneous logical relationships, a comprehensive opinion dynamics model is proposed in a time-varying influence network. There exist cooperative and antagonistic interpersonal interactions in the time-varying influence network. A logic matrix is designed to describe the heterogeneous logical relationships within multiple interdependent topics. Based on graph theory, both convergence and modulus consensus are shown for the heterogeneous time-varying opinion dynamics. Simulation results are given to illustrate effectiveness on modulus consensus of the heterogeneous time-varying opinion dynamics.