Consensus for the Hegselmann-Krause model with time variable time delays

Abstract

In this paper, we analyze a Hegselmann-Krause opinion formation model with time-variable time delay and prove that, if the influence function is always positive, then there is exponential convergence to consensus without requiring any smallness assumptions on the time delay function. The analysis is then extended to a model with distributed time delay.

References in corpus (1)

• Convergence to consensus for a Hegselmann-Krause-type model with distributed time delay

Cited by in corpus (3)

• Convergence to consensus results for Hegselmann-Krause type models with attractive-lacking interaction
• A note on the Cucker-Smale model with time delay and communication failures
• First and second-order Cucker-Smale models with non-universal interaction, time delay and communication failures