arXiv Open Access 2021

On the control of the Hegselmann-Krause model with leadership and time delay

Alessandro Paolucci Cristina Pignotti

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Abstrak

We analyze Hegselmann-Krause opinion formation models with leadership in presence of time delay effects. In particular, we consider a model with 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.

Topik & Kata Kunci

math.OC

Penulis (2)

Alessandro Paolucci

Cristina Pignotti

Format Sitasi

APA MLA BibTeX

Paolucci, A., Pignotti, C. (2021). On the control of the Hegselmann-Krause model with leadership and time delay. https://arxiv.org/abs/2105.14248

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Informasi Jurnal

Tahun Terbit: 2021
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓