Consensus of signed networked multi-agent systems with nonlinear coupling and communication delays

被引：75
|
作者：
Lu, Jianquan [1 ,2 ,3 ]
Guo, Xing [1 ,4 ]
Huang, Tingwen [5 ]
Wang, Zhen [6 ]
机构：
[1] Southeast Univ, Sch Math, Nanjing 210096, Jiangsu, Peoples R China
[2] Linyi Univ, Sch Automat & Elect Engn, Linyi 276005, Shandong, Peoples R China
[3] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China
[4] Southeast Univ, Sch Informat Sci & Engn, Nanjing 210096, Jiangsu, Peoples R China
[5] Texas A&M Univ Qatar, Doha 23874, Qatar
[6] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2019年 / 350卷
关键词：
Complex networks; Multi-agent systems; Communication delays; Consensus; Antagonistic interactions; ANTAGONISTIC INTERACTIONS; SWITCHING TOPOLOGY; DYNAMICAL NETWORKS; AVERAGE CONSENSUS; H-INFINITY; SYNCHRONIZATION; AGENTS; DESIGN;
D O I：
10.1016/j.amc.2019.01.006
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper investigates the consensus problem in networks of agents with antagonistic interactions and communication delays. For undirected signed networks, we respectively establish two dynamic models corresponding to linear and nonlinear coupling. Based on Lya-punov stability theory and some other mathematical analysis, it is proved that all agents on signed networks can reach agreement on a consensus value except for the sign. Further, a bipartite consensus solution is given for linear coupling networks, and an explicit expression associating with bipartite consensus solution is provided for nonlinear coupling networks. Finally, numerical simulations are given to demonstrate the effectiveness of our theoretical results. (C) 2019 Elsevier Inc. All rights reserved.
引用
收藏
页码：153 / 162
页数：10
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