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

—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.