Flocking in the Cucker-Smale model with self-delay and nonsymmetric interaction weights

Jan Haskovec

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arXiv · 2108.03725

Flocking in the Cucker-Smale model with self-delay and nonsymmetric interaction weights

Jan Haskovec

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Abstract

We derive a sufficient condition for asymptotic flocking in the Cucker-Smale model with self-delay (also called reaction delay) and with non-symmetric interaction weights. The condition prescribes smallness of the delay length relative to the decay rate of the inter-agent communication weight. The proof is carried out by a bootstrapping argument combining a decay estimate for the group velocity diameter with a variant of the Gronwall-Halanay inequality.

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Jan Haskovec. 2021-08-08. Flocking in the Cucker-Smale model with self-delay and nonsymmetric interaction weights. https://arxiv.org/abs/2108.03725

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