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首页|期刊导航|南华大学学报(自然科学版)|具通信延迟的合作-竞争Cucker-Smale模型二部集群的研究

具通信延迟的合作-竞争Cucker-Smale模型二部集群的研究

谢敏 肖其珍 刘宏亮

南华大学学报(自然科学版)2025,Vol.39Issue(1):69-76,8.
南华大学学报(自然科学版)2025,Vol.39Issue(1):69-76,8.DOI:10.19431/j.cnki.1673-0062.2025.01.010

具通信延迟的合作-竞争Cucker-Smale模型二部集群的研究

Research on Bipartite Flocking of Cucker-Smale Model on Cooperation-competition Networks with Communication Delays

谢敏 1肖其珍 1刘宏亮2

作者信息

  • 1. 南华大学 数理学院,湖南 衡阳 421001
  • 2. 南华大学 数理学院,湖南 衡阳 421001||南华大学 数学建模与科学计算湖南省重点实验室,湖南 衡阳 421001
  • 折叠

摘要

Abstract

This paper examines the bipartite flocking control issue of Cucker-Smale model in presence of communication delays.A general control input scheme defending against communication delays is constructed,then the bipartite flocking problem is equivalently transformed into the product convergence problem of infinite super-stochastic matrices ac-cording to the basis of the presented control input scheme and the properties of graph theory,and the sufficient conditions for the bipartite flocking of the cooperation-competiton Cucker-Smale model with communication delays are obtained.Finally,the validity of the theoretical results is verified by numerical simulation.

关键词

Cucker-Smale模型/二部集群/合作-竞争网络/通信延迟

Key words

Cucker-Smale model/bipartite flocking/cooperation-competition network/com-munication delay

分类

数理科学

引用本文复制引用

谢敏,肖其珍,刘宏亮..具通信延迟的合作-竞争Cucker-Smale模型二部集群的研究[J].南华大学学报(自然科学版),2025,39(1):69-76,8.

基金项目

湖南省自然科学基金项目(2024JJ5320 ()

2021JJ30567) ()

南华大学学报(自然科学版)

1673-0062

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