Cucker-Smale flocking over cooperation-competition networks

被引：48

作者：

Shi, Lei ^{[1
,2
]}

Cheng, Yuhua ^{[1
]}

Shao, Jinliang ^{[1
,2
]}

Sheng, Hanmin ^{[1
,2
]}

Liu, Qingchen ^{[3
]}

机构：

[1] Univ Elect Sci & Technol China, Sch Automat Engn, Chengdu 611731, Peoples R China

[2] Shenzhen Inst Artifcial Intelligence & Robot Soc, Res Ctr Crowd Spectrum Intelligence, Shenzhen 518054, Peoples R China

[3] Tech Univ Munich, Chair Informat Oriented Control, D-80869 Munich, Germany

来源：

AUTOMATICA | 2022年 / 135卷

基金：

中国博士后科学基金; 中国国家自然科学基金; 国家重点研发计划;

关键词：

Cucker-Smale model; Flocking behavior; Cooperation-competition networks; Super-stochastic matrix; ROOTED LEADERSHIP;

D O I：

10.1016/j.automatica.2021.109988

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

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. (C) 2021 Elsevier Ltd. All rights reserved.

引用

页数：8

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