Paper Info
Title
Multi-Cluster Flocking Behavior Analysis for a Delayed Cucker-Smale Model with Short-Range Communication Weight
Abstract
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.
Year
DOI
Venue
2022
10.1007/s11424-021-0026-3
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
Keywords
DocType
Volume
Cucker-Smale model, Lyapunov functional, multi-cluster flocking, short-range communication weight, time-delay systems
Journal
35
Issue
ISSN
Citations 
1
1009-6124
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Zhengyang Qiao100.34
Yi-Cheng Liu24113.29
Xiao Wang300.68