Delay-range-dependent synchronization criterion for Lur'e systems with delay feedback control

被引:61
作者
Li, Tao [1 ]
Yu, Jianjiang [2 ,3 ]
Wang, Zhao [2 ,4 ]
机构
[1] Nanjing Univ Informat Sci & Technol, Dept Informat & Commun, Nanjing 210044, Jiangsu, Peoples R China
[2] Southeast Univ, Key Lab Measurement & Control Complex Syst Engn, Minist Educ, Nanjing 210096, Peoples R China
[3] Yancheng Teachers Univ, Sch Informat Sci & Technol, Yancheng 224002, Peoples R China
[4] China Univ Petr, Coll Informat & Control Engn, Dongying 257061, Peoples R China
基金
美国国家科学基金会;
关键词
Synchronization; Delay-range-dependent; Linear matrix inequality (LMI); MASTER-SLAVE SYNCHRONIZATION; NEURAL-NETWORKS; CHAOS SYNCHRONIZATION; STABILITY-CRITERIA;
D O I
10.1016/j.cnsns.2008.06.018
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, a master-slave synchronization scheme is investigated by using feedback control mechanism with time-varying delay. The time-delay is assumed to be a time-varying continuous function belonging to a given range. By constructing a novel Lyapunov-Krasovskii functional, which includes the information of the range, new delay-range-dependent synchronization criterion is established in term of LMI. It is shown that the new criterion improve some of the previous results in the earlier references. Simulation example is given to show the effectiveness and less conservatism of the proposed criterion. (C) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码:1796 / 1803
页数:8
相关论文
共 17 条
[1]  
[Anonymous], 1998, From chaos to order: perspectives, methodologies, and applications
[2]   Synchronization criteria of Lur'e systems with time-delay feedback control [J].
Cao, JD ;
Li, HX ;
Ho, DWC .
CHAOS SOLITONS & FRACTALS, 2005, 23 (04) :1285-1298
[3]  
Gu K., 2003, CONTROL ENGN SER BIR
[4]   New delay-dependent synchronization criteria for Lur'e systems using time delay feedback control [J].
Han, Qing-Long .
PHYSICS LETTERS A, 2007, 360 (4-5) :563-569
[5]   LMI-based stability criteria for neural networks with multiple time-varying delays [J].
He, Y ;
Wang, QG ;
Wu, M .
PHYSICA D-NONLINEAR PHENOMENA, 2005, 212 (1-2) :126-136
[6]   New delay-dependent stability criteria for neural networks with time-varying delay [J].
He, Yong ;
Liu, Guoping ;
Rees, D. .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2007, 18 (01) :310-314
[7]   Delay-dependent synchronization criterion for Lur'e systems with delay feedback control [J].
He, Yong ;
Wen, Guilin ;
Wang, Qing-Guo .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2006, 16 (10) :3087-3091
[8]   A note on chaotic synchronization of time-delay secure communication systems [J].
Li, Demin ;
Wang, Zidong ;
Zhou, Jie ;
Fang, Jian'an ;
Ni, Jinjin .
CHAOS SOLITONS & FRACTALS, 2008, 38 (04) :1217-1224
[9]   Further results on delay-dependent stability criteria of neural networks with time-varying delays [J].
Li, Tao ;
Guo, Lei ;
Sun, Changyin ;
Lin, Chong .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2008, 19 (04) :726-730
[10]   Robust stability for neural networks with time-varying delays and linear fractional uncertainties [J].
Li, Tao ;
Guo, Lei ;
Sun, Changyin .
NEUROCOMPUTING, 2007, 71 (1-3) :421-427