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
相关论文
共 50 条
  • [1] On Synchronization of Memristive Neural Networks With Cooperative and Competitive Interactions
    Li, Ning
    Zheng, Wei Xing
    2020 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS (ISCAS), 2020,
  • [2] Synchronization of coupled discrete systems with competitive interactions and time-varying topologies
    Zhai, Shidong
    Liu, Pei
    2018 37TH CHINESE CONTROL CONFERENCE (CCC), 2018, : 6896 - 6901
  • [3] Pinning bipartite synchronization for coupled nonlinear systems with antagonistic interactions and switching topologies
    Zhai, Shidong
    Li, Qingdu
    SYSTEMS & CONTROL LETTERS, 2016, 94 : 127 - 132
  • [4] Pinning bipartite synchronization for coupled nonlinear systems with antagonistic interactions and time delay
    Zhai, Shidong
    Huang, Tao
    Luo, Guoqiang
    Wang, Xin
    Ma, Jun
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2022, 593
  • [6] Coherent synchronization in linearly coupled nonlinear systems
    Zhou, Tianshou
    Chen, Guanrong
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2006, 16 (05): : 1375 - 1387
  • [7] Impulsive synchronization of nonlinear coupled chaotic systems
    Li, CD
    Liao, XF
    Zhang, R
    PHYSICS LETTERS A, 2004, 328 (01) : 47 - 50
  • [8] Dynamic learning of synchronization in coupled nonlinear systems
    Wu, Yong
    Ding, Qianming
    Huang, Weifang
    Li, Tianyu
    Yu, Dong
    Jia, Ya
    NONLINEAR DYNAMICS, 2024, 112 (24) : 21945 - 21967
  • [9] Sign-independent synchronization in unidirectionally coupled chaotic systems
    Nan, MK
    Tsang, KF
    Wong, CN
    Shi, XQ
    PHYSICAL REVIEW E, 1999, 60 (05): : 5439 - 5444
  • [10] Nonlinear control and synchronization of a class of nonlinear coupled dynamical systems
    Tang W.
    Qu Z.
    Fan X.
    Long H.
    Journal of Control Theory and Applications, 2013, 11 (4): : 623 - 628