Impulsive control and synchronization of a new unified hyperchaotic system with varying control gains and impulsive intervals

被引:27
作者
Ma, Chao [1 ]
Wang, Xingyuan [1 ]
机构
[1] Dalian Univ Technol, Sch Elect & Informat Engn, Dalian 116024, Liaoning, Peoples R China
基金
中国国家自然科学基金;
关键词
Impulsive control; Impulsive synchronization; Unified hyperchaotic system; CHAOTIC SYSTEMS; LORENZ SYSTEMS; LAG SYNCHRONIZATION; NONLINEAR-SYSTEMS; STABILIZATION; STABILITY; MISMATCH; DELAYS;
D O I
10.1007/s11071-012-0476-1
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
In this paper, we investigate the impulsive control and synchronization of a new unified hyperchaotic system. This new system unifies both the hyperchaotic Lorenz system and the hyperchaotic Chen system. Some conditions are given to guarantee the global asymptotic stability of the controlled and synchronized system. The control gains and impulsive intervals are both variable. Moreover, we estimate the upper bound of impulsive interval for stable control and synchronization. Simulations are included to show the effectiveness of the theoretical results.
引用
收藏
页码:551 / 558
页数:8
相关论文
共 50 条
[21]   Fuzzy modelling and impulsive control of the hyperchaotic L system [J].
张小洪 ;
李东 .
Chinese Physics B, 2009, 18 (05) :1774-1779
[22]   Fuzzy Impulsive Control and Synchronization of General Chaotic System [J].
Hu, Cheng ;
Jiang, Haijun ;
Teng, Zhidong .
ACTA APPLICANDAE MATHEMATICAE, 2010, 109 (02) :463-485
[23]   Fuzzy Impulsive Control and Synchronization of General Chaotic System [J].
Cheng Hu ;
Haijun Jiang ;
Zhidong Teng .
Acta Applicandae Mathematicae, 2010, 109 :463-485
[24]   Impulsive control for the stabilization and synchronization of Lorenz systems [J].
Xie, WX ;
Wen, CY ;
Li, ZG .
PHYSICS LETTERS A, 2000, 275 (1-2) :67-72
[25]   Impulsive control and synchronization of Chua's oscillators [J].
Sun, JT ;
Zhang, YP .
MATHEMATICS AND COMPUTERS IN SIMULATION, 2004, 66 (06) :499-508
[26]   Impulsive control for the stabilization and synchronization of Lorenz systems [J].
Sun, JT ;
Zhang, YP ;
Wu, QD .
PHYSICS LETTERS A, 2002, 298 (2-3) :153-160
[27]   Impulsive control of a new chaotic system [J].
Sun, JT .
MATHEMATICS AND COMPUTERS IN SIMULATION, 2004, 64 (06) :669-677
[28]   Synchronization of time varying delayed complex networks via impulsive control [J].
Xie, Chengrong ;
Xu, Yuhua ;
Tong, Dongbing .
OPTIK, 2014, 125 (15) :3781-3787
[29]   Stabilizability of discrete chaotic systems via unified impulsive control [J].
Xu, Honglei ;
Teo, Kok Lay .
PHYSICS LETTERS A, 2009, 374 (02) :235-240
[30]   Impulsive Control and Synchronization of a Critical Chaotic System [J].
ZHANG Qunjiao .
WuhanUniversityJournalofNaturalSciences, 2007, (03) :426-430