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

Jan Haskovec

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

We derive a sufficient condition for asymptotic flocking in the Cucker-Smale model with self-delay (also called reaction delay) and with nonsymmetric 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.
Original languageEnglish (US)
Pages (from-to)126261
JournalJournal of Mathematical Analysis and Applications
Volume514
Issue number1
DOIs
StatePublished - Apr 25 2022

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Fingerprint

Dive into the research topics of 'Flocking in the Cucker-Smale model with self-delay and nonsymmetric interaction weights'. Together they form a unique fingerprint.

Cite this