Impulsive synchronization of a class of chaotic systems

被引：12
作者：
Fang, Yang [1 ]
Yan, Kang [1 ]
Li, Kelin [2 ]
机构：
[1] Sichuan Univ Sci & Engn, Sch Automat & Elect Informat, Zigong 643000, Sichuan, Peoples R China
[2] Sichuan Univ Sci & Engn, Inst Nonlinear Sci & Engn Comp, Zigong 643000, Sichuan, Peoples R China
来源：
SYSTEMS SCIENCE & CONTROL ENGINEERING | 2014年 / 2卷 / 01期
关键词：
impulsive synchronization; chaotic system; linear matrix inequality; Chua's oscillators;
D O I：
10.1080/21642583.2013.878885
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 deals with the impulsive synchronization problem of a class of chaotic systems. By employing the comparison principle and the linear matrix inequalities approach, some less conservative and easily verified sufficient conditions for impulsive synchronization of this class of chaotic systems are derived, these new sufficient conditions can be applied to analyze the impulsive synchronization of the Chua's oscillators. Moreover, the numerical simulation of Chua's oscillators under impulsive control shows the effectiveness of the proposed theory, and obtains better estimation of the boundary of the stable region than the existing approaches.
引用
收藏
页码：55 / 60
页数：6
相关论文
共 18 条
[1]   Lag synchronization and scaling of chaotic attractor in coupled system [J].
Bhowmick, Sourav K. ;
Pal, Pinaki ;
Roy, Prodyot K. ;
Dana, Syamal K. .
CHAOS, 2012, 22 (02)
[2]  
Boyd S., 1994, STUDIES APPL NUMERIC
[3]   Simple adaptive synchronization of chaotic systems with random components [J].
Chen, Yen-Sheng ;
Chang, Chien-Cheng .
CHAOS, 2006, 16 (02)
[4]   Phase synchronization of coupled chaotic multiple time scales systems [J].
Ge, ZM ;
Chen, CC .
CHAOS SOLITONS & FRACTALS, 2004, 20 (03) :639-647
[5]   Impulsive synchronization of two nonidentical chaotic systems with time-varying delay [J].
He, Wangli ;
Qian, Feng ;
Cao, Jinde ;
Han, Qing-Long .
PHYSICS LETTERS A, 2011, 375 (03) :498-504
[6]   Generalized synchronization of chaotic systems: An auxiliary system approach via matrix measure [J].
He, Wangli ;
Cao, Jinde .
CHAOS, 2009, 19 (01)
[7]  
Khalil H. K., 2002, NONLINEAR SYSTEMS, V3
[8]   Impulsive synchronization of chaotic systems [J].
Li, CD ;
Liao, XF ;
Zhang, XY .
CHAOS, 2005, 15 (02)
[9]  
Li ZG, 2001, IEEE T AUTOMAT CONTR, V46, P894, DOI 10.1109/9.928590
[10]  
Lorenz E, 1995, ESSENCE CHAOS
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