Bounded synchronization of coupled Kuramoto oscillators with phase lags via distributed impulsive control

被引:17
|
作者
Zhang, Wen-Yi [1 ,2 ]
Yang, Chao [1 ]
Guan, Zhi-Hong [1 ]
Liu, Zhi-Wei [1 ]
Chi, Ming [1 ]
Zheng, Gui-Lin [3 ]
机构
[1] Huazhong Univ Sci & Technol, Coll Automat, Wuhan 430074, Peoples R China
[2] Tsinghua Univ, Dept Elect Engn, Beijing 100084, Peoples R China
[3] Wuhan Univ, Dept Automat, Wuhan 430072, Peoples R China
基金
中国国家自然科学基金;
关键词
Kuramoto oscillators; Phase lags; Distributed impulsive control; Bounded synchronization; Exponential convergence; EXPONENTIAL SYNCHRONIZATION; QUASI-SYNCHRONIZATION; NETWORKS; MODEL; DELAYS; SIMULATION; SYSTEMS; DESIGN;
D O I
10.1016/j.neucom.2016.08.054
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In this paper, we study the synchronization of networked Kuramoto oscillators with phase lags. Distributed impulsive control strategies are developed to ensure the synchronization of coupled Kuramoto oscillators with phase lags. A sufficient condition is given to ensure bounded synchronization whose boundary can be sufficiently and arbitrary small. Especially, when oscillators are identical and phase lags are uniform, the exponential convergence criteria are derived. The proposed control strategies are valid for arbitrary distributions of phase lags with a boundary. Finally, numerical simulations are given to illustrate the effectiveness of the proposed control strategies.
引用
收藏
页码:216 / 222
页数:7
相关论文
共 50 条
  • [21] Multi-type synchronization of impulsive coupled oscillators via topology degree
    Yingjie Bi
    Zhidan Cai
    Shuai Wang
    Applications of Mathematics, 2024, 69 : 185 - 207
  • [22] Multi-type synchronization of impulsive coupled oscillators via topology degree
    Bi, Yingjie
    Cai, Zhidan
    Wang, Shuai
    APPLICATIONS OF MATHEMATICS, 2024, 69 (02) : 185 - 207
  • [23] Automatic control of phase synchronization in coupled complex oscillators
    Belykh, VN
    Kuckländer, N
    Osipov, GV
    Blasius, B
    Kurths, J
    2005 INTERNATIONAL CONFERENCE ON PHYSICS AND CONTROL (PHYSCON), 2005, : 92 - 99
  • [24] Automatic control of phase synchronization in coupled complex oscillators
    Belykh, VN
    Osipov, GV
    Kuckländer, N
    Blasius, B
    Kurths, M
    PHYSICA D-NONLINEAR PHENOMENA, 2005, 200 (1-2) : 81 - 104
  • [25] LEARNING OF PHASE LAGS IN COUPLED NEURAL OSCILLATORS
    ERMENTROUT, B
    KOPELL, N
    NEURAL COMPUTATION, 1994, 6 (02) : 225 - 241
  • [26] Synchronization in coupled phase oscillators
    Sakaguchi, Hidetsugu
    JOURNAL OF THE KOREAN PHYSICAL SOCIETY, 2008, 53 (02) : 1257 - 1264
  • [27] A Hybrid Distributed Strategy for Robust Global Phase Synchronization of Second-Order Kuramoto Oscillators
    Bosso, Alessandro
    Azzollini, Ilario A.
    Baldi, Simone
    Zaccarian, Luca
    2021 60TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2021, : 1212 - 1217
  • [28] Routes to complete synchronization via phase synchronization in coupled nonidentical chaotic oscillators
    Rim, S
    Kim, I
    Kang, P
    Park, YJ
    Kim, CM
    PHYSICAL REVIEW E, 2002, 66 (01): : 1 - 015205
  • [29] Synchronization of heterogeneous dynamical networks via distributed impulsive control
    He, Wangli
    Han, Qing-Long
    Qian, Feng
    IECON 2014 - 40TH ANNUAL CONFERENCE OF THE IEEE INDUSTRIAL ELECTRONICS SOCIETY, 2014, : 3713 - 3719
  • [30] Synchronization of complex dynamical networks via distributed impulsive control
    Liu, Zhi-Wei
    Guan, Zhi-Hong
    Wang, Yan-Wu
    Liao, Rui-Quan
    PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009), 2009, : 1714 - 1719