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arXiv · 1807.03172

Asymptotic analysis of a Cucker-Smale system with leadership and distributed delay

Cristina Pignotti·Irene Reche Vallejo
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Abstract

We extend the analysis developed in [33] in order to prove convergence to consensus results for a Cucker-Smale type model with hierarchical leadership and distributed delay. Flocking estimates are obtained for a general interaction potential with divergent tail. We analyze also the model when the ultimate leader can change its velocity. In this case we give a flocking result under suitable conditions on the leader's acceleration.

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Cristina Pignotti, Irene Reche Vallejo. 2018-07-06. Asymptotic analysis of a Cucker-Smale system with leadership and distributed delay. https://arxiv.org/abs/1807.03172

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