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

Autor:	Haskovec, Jan
Rok vydání:	2021
Předmět:	Mathematics - Analysis of PDEs Mathematics - Classical Analysis and ODEs
Druh dokumentu:	Working Paper
Popis:	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. Comment: 10 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2108.03725 Zobrazit plný text záznamu View this record from Arxiv