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

Hongjiu Yang; Jiang Cao; Yuan Yuan; Jin Wang

doi:10.1109/TAC.2023.3241829

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

Hongjiu Yang
, Jiang Cao
, Yuan Yuan
, Jin Wang

School of Astronautics

Tianjin University

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

—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.

Original language	English
Pages (from-to)	6913-6920
Number of pages	8
Journal	IEEE Transactions on Automatic Control
Volume	68
Issue number	11
DOIs	https://doi.org/10.1109/TAC.2023.3241829
State	Published - 1 Nov 2023

Keywords

Antagonistic interpersonal interactions
heterogeneous opinion dynamics
influence networks
modulus consensus
multiple interdependent topics

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10.1109/TAC.2023.3241829

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title = "Modulus Consensus for Time-Varying Heterogeneous Opinion Dynamics on Multiple Interdependent Topics",

abstract = "—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.",

keywords = "Antagonistic interpersonal interactions, heterogeneous opinion dynamics, influence networks, modulus consensus, multiple interdependent topics",

author = "Hongjiu Yang and Jiang Cao and Yuan Yuan and Jin Wang",

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year = "2023",

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doi = "10.1109/TAC.2023.3241829",

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T1 - Modulus Consensus for Time-Varying Heterogeneous Opinion Dynamics on Multiple Interdependent Topics

AU - Yang, Hongjiu

AU - Cao, Jiang

AU - Yuan, Yuan

AU - Wang, Jin

PY - 2023/11/1

Y1 - 2023/11/1

N2 - —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.

AB - —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.

KW - Antagonistic interpersonal interactions

KW - heterogeneous opinion dynamics

KW - influence networks

KW - modulus consensus

KW - multiple interdependent topics

UR - https://www.scopus.com/pages/publications/85148449257

U2 - 10.1109/TAC.2023.3241829

DO - 10.1109/TAC.2023.3241829

M3 - 文章

AN - SCOPUS:85148449257

SN - 0018-9286

VL - 68

SP - 6913

EP - 6920

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

IS - 11

ER -

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

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Keywords

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