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.
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