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In this note, we address the KH opinion dynamics model under asymmetric confidence levels. We show that the system converges to an equilibrium in a finite time, and provide an estimation of the convergence time. Illustrative examples are carried out to show the validity of our approach.
In this work, we provide an initial-connectivity-based sufficient condition for consensus of multi-dimensional Krause-Hegselmann model with uniform bounded confidence. The criterion is obtained by exploiting a Lyapunov-like function that is the largest edge length in the dynamical network. An illustrative example is carried out to show the effectiveness of the approach.
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