Fixed-time flocking problem of a Cucker-Smale model
type: Item
instance of: scholarly article
title: Fixed-time flocking problem of a Cucker-Smale model
zbMATH Open document ID: 1459.34124
DOI: 10.1155/2020/7319608
author: D. Kharzeev
published in: Mathematical Problems in Engineering
publication date: 2020-07-03T00:00:00Z
review text: Summary: In this paper, we studied a Cucker-Smale model with continuous non-Lipschitz protocol. The methodology presented in the current work is based on the explicit construction of a Lyapunov functional. By using the fixed-time control technology, we show that the flocking can occur in fixed time if the communication rate function is locally Lipschitz continuous and has a lower bound, and we can obtain the estimation of the converging time which is independent of the initial states of agents. Theoretical results are supported by numerical simulations.
Mathematics Subject Classification ID: 34D05
Mathematics Subject Classification ID: 93D40
Mathematics Subject Classification ID: 82C22
zbMATH DE Number: 7217426
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2020/7319608
OpenAlex ID: W3032323882
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description: scientific article; zbMATH DE number 7217426