Bipartite consensus problems of Lurie multi-agent systems over signed graphs: A contraction approach

被引：0
|
作者：
Zhang, Xiaojiao [1 ]
Wu, Xiang [2 ]
机构：
[1] Nanchang Normal Univ, Sch Math & Informat Sci, Nanchang 330032, Peoples R China
[2] Guizhou Normal Univ, Sch Math Sci, Guiyang, Peoples R China
来源：
CHINESE PHYSICS B | 2024年 / 33卷 / 07期
基金：
中国国家自然科学基金;
关键词：
contraction theory; virtual system; bipartite consensus; Lurie multi-agent systems; 02.30.Yy; 05.45.Xt; 89.75.-k; TRACKING CONSENSUS; NONLINEAR-SYSTEMS; SYNCHRONIZATION; NETWORKS;
D O I：
10.1088/1674-1056/ad3dca
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
This paper examines the bipartite consensus problems for the nonlinear multi-agent systems in Lurie dynamics form with cooperative and competitive communication between different agents. Based on the contraction theory, some new conditions for the nonlinear Lurie multi-agent systems reaching bipartite leaderless consensus and bipartite tracking consensus are presented. Compared with the traditional methods, this approach degrades the dimensions of the conditions, eliminates some restrictions of the system matrix, and extends the range of the nonlinear function. Finally, two numerical examples are provided to illustrate the efficiency of our results.
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页数：9
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