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

doi:10.1088/1674-1056/ad3dca

中国物理B ›› 2024, Vol. 33 ›› Issue (7): 70204-070204.doi: 10.1088/1674-1056/ad3dca

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

Xiaojiao Zhang(张晓娇)^1,† and Xiang Wu(吴祥)²

1 School of Mathematics and Information Science, Nanchang Normal University, Nanchang 330032, China;
2 School of Mathematical Sciences, Guizhou Normal University, Guiyang 550001, China

收稿日期:2024-01-10 修回日期:2024-03-29 接受日期:2024-04-12 出版日期:2024-06-18 发布日期:2024-06-20
通讯作者: Xiaojiao Zhang E-mail:xiaojiao-abc@hotmail.com
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 62363005), the Jiangxi Provincial Natural Science Foundation (Grant Nos. 20161BAB212032 and 20232BAB202034), and the Science and Technology Research Project of Jiangxi Provincial Department of Education (Grant Nos. GJJ202602 and GJJ202601).

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

Xiaojiao Zhang(张晓娇)^1,† and Xiang Wu(吴祥)²

1 School of Mathematics and Information Science, Nanchang Normal University, Nanchang 330032, China;
2 School of Mathematical Sciences, Guizhou Normal University, Guiyang 550001, China

Received:2024-01-10 Revised:2024-03-29 Accepted:2024-04-12 Online:2024-06-18 Published:2024-06-20
Contact: Xiaojiao Zhang E-mail:xiaojiao-abc@hotmail.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 62363005), the Jiangxi Provincial Natural Science Foundation (Grant Nos. 20161BAB212032 and 20232BAB202034), and the Science and Technology Research Project of Jiangxi Provincial Department of Education (Grant Nos. GJJ202602 and GJJ202601).

摘要/Abstract

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.

关键词: contraction theory, virtual system, bipartite consensus, Lurie multi-agent systems

Abstract: 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.

Key words: contraction theory, virtual system, bipartite consensus, Lurie multi-agent systems

中图分类号: (Control theory)

02.30.Yy

05.45.Xt (Synchronization; coupled oscillators) 89.75.-k (Complex systems)

Xiaojiao Zhang(张晓娇) and Xiang Wu(吴祥). Bipartite consensus problems of Lurie multi-agent systems over signed graphs: A contraction approach[J]. 中国物理B, 2024, 33(7): 70204-070204.

Xiaojiao Zhang(张晓娇) and Xiang Wu(吴祥). Bipartite consensus problems of Lurie multi-agent systems over signed graphs: A contraction approach[J]. Chin. Phys. B, 2024, 33(7): 70204-070204.

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

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

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