Multi-Cluster Flocking Behavior Analysis for a Delayed Cucker-Smale Model with Short-Range Communication Weight

• 作者: QIAO Zhengyang LIU Yicheng WANG Xiao
• 来源期刊: 系统科学与复杂性学报（英文版）
• 年，卷（期）: 2022,（1）
• 页码范围: 137-158
• 页数: 22页
• 语种: 英文
• DOI: 10.1007/s11424-021-0026-3

摘要

This paper analyzes the multi-cluster flocking behavior of a Cucker-Smale model involving delays and a short-range communication weight.In each sub-flocking group,the velocity between agents is alignment and the position locates at a limited domain;but in different sub-flocking groups,the position between agents is unbounded.By constructing dissipative differential inequalities of sub-ensembles together with Lyapunov functional methods,the authors provide the sufficient condition for the multi-cluster flocking emerging.The sufficient condition includes the estimation of the range of coupling strength and the upper bound of time delay.As a result,the authors show that the coupling strength among agents and initial threshold value determine the multi-cluster flocking behavior of the delayed Cucker-Smale model.