Consensus Strategies for a Hegselmann-Krause Model with Leadership and Time Variable Time Delay

被引：5

作者：

Paolucci, Alessandro ^{[1
]}

Pignotti, Cristina ^{[1
]}

机构：

[1] Univ Laquila, Dipartimento Ingn & Sci Informaz & Matemat, Via Vetoio, I-67100 Laquila, Italy

来源：

JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS | 2024年 / 36卷 / 04期

关键词：

CUCKER-SMALE MODEL; OPINION DYNAMICS; EMERGENT BEHAVIOR; FLOCKING; CONVERGENCE; WEIGHTS; STATE;

D O I：

10.1007/s10884-023-10276-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We analyze Hegselmann-Krause opinion formation models with leadership in presence of time delay effects. In particular, we consider a model with a pointwise time variable time delay and a model with a distributed delay. In both cases we show that, when the delays satisfy suitable smallness conditions, then the leader can control the system, leading the group to any prefixed state. Some numerical tests illustrate our analytical results.

引用

页码：3207 / 3232

页数：26

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