论文标题
与时间延迟有关的Hegselmann-Krause模型的共识
Consensus for the Hegselmann-Krause model with time variable time delays
论文作者
论文摘要
在本文中,我们分析了一个具有时间变化的时间延迟的Hegselmann-Krause意见形成模型,并证明,如果影响函数始终是正面的,那么就有指数的收敛性,而无需对时间延迟函数进行任何较小的假设。然后将分析扩展到具有分布式时间延迟的模型。
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.