Title
Cucker-Smale flocking over cooperation-competition networks
Abstract
This paper offers a novel distributed control scheme for the Cucker-Smale model to examine the leader-follower flocking behavior on networks with both cooperative and competitive interactions among agents. The core idea of the proposed scheme is to characterize the influence of cooperation and competition between agents through positive and negative weight functions with respect to the interaction distance, respectively. Based on the tool of infinite products of super-stochastic matrices, we establish mathematical inequalities about the intensities of cooperation and competition, and further obtain the algebraic conditions that depend on factors such as the initial states of agents, topological structure and weight functions. Moreover, we also discuss the influence of these factors on the least exponential convergence rate and the final position errors among agents. The obtained theoretical results are illustrated through simulation examples.
Year
DOI
Venue
2022
10.1016/j.automatica.2021.109988
Automatica
Keywords
DocType
Volume
Cucker-Smale model,Flocking behavior,Cooperation-competition networks,Super-stochastic matrix
Journal
135
Issue
ISSN
Citations 
1
0005-1098
1
PageRank 
References 
Authors
0.35
0
5
Name
Order
Citations
PageRank
Lei Shi130655.98
Yuhua Cheng213633.41
Jin-Liang Shao39610.49
Hanmin Sheng410.69
Qingchen Liu5194.34