Sign synchronization of coupled nonlinear systems with cooperative and competitive interactions

被引:5
|
作者
Zhai, Shidong [1 ]
Wang, Xin [1 ]
Luo, Guoqiang [1 ]
Huang, Tao [1 ]
机构
[1] Chongqing Univ Posts & Telecommun, Sch Automat, Chongqing, Peoples R China
基金
中国国家自然科学基金;
关键词
Nonlinear systems; Lie bracket; sign synchronization; MULTIAGENT SYSTEMS; OPINION DYNAMICS; CONSENSUS; NETWORKS;
D O I
10.1109/CAC51589.2020.9326982
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 studies various criteria for sign synchronization of coupled nonlinear systems with cooperative and competitive interactions. sign synchronization means that all states have same sign when time exceeds a threshold. When the adjacency matrix is a nonnegative matrix, Based on Kamke's theorem and Comparison theorem, we obtain some sufficient conditions such that the coupled nonlinear systems achieves unanimity. When cooperative and competitive relationships coexist and the nonlinear items are switching systems, some results of Lie bracket are used to obtain sufficient conditions for sign synchronization.
引用
收藏
页码:2560 / 2564
页数:5
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