Adaptive Projective Synchronization of a Novel Fractional-order Hyperchaotic System

被引:0
作者
Zhu, Darui [1 ]
Liu, Ling [1 ]
Liu, Chongxin [1 ]
Pang, Xia [1 ]
Yan, Bingnan [1 ]
机构
[1] Xi An Jiao Tong Univ, Inst Elect Engn, Xian 710049, Peoples R China
来源
PROCEEDINGS OF THE 2014 9TH IEEE CONFERENCE ON INDUSTRIAL ELECTRONICS AND APPLICATIONS (ICIEA) | 2014年
关键词
fractional order system; hyperchaotic system; adaptive projective synchronization; CHAOTIC SYSTEM; STABILITY THEOREM;
D O I
暂无
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
This paper analyzed the Lyapunov exponent characteristics of a novel fractional order hyperchaotic system with the asymmetric structure, analyzed the dynamic characteristics of the system, and then studied the adaptive projective synchronization control method. Through analyze the fractional order stability theory, a powerful synchronization scheme and the adaptive law of the unknown parameters are studied for achieving the adaptive projective synchronization. This control method realized adaptive completely self-synchronization of the system with the unknown parameters. Numerical simulation results are further evidence that the proposed control strategy realizes the adaptive projective synchronization.
引用
收藏
页码:814 / 818
页数:5
相关论文
共 19 条
[1]  
[Anonymous], 1999, FRACTIONAL DIFFERENT
[2]  
BUTZER P., 2000, INTRO FRACTIONAL CAL
[3]   The adaptive control of Chen's chaotic system [J].
Guan, XP ;
Fan, ZP ;
Peng, HP ;
Wang, YQ .
ACTA PHYSICA SINICA, 2001, 50 (11) :2108-2111
[4]  
Hartley T. T., 1995, IEEE T CIRCUIT SYSTE, P42
[5]   A stability theorem about fractional systems and synchronizing fractional unified chaotic systems based on the theorem [J].
Hu Jian-Bing ;
Han Yan ;
Zhao Ling-Dong .
ACTA PHYSICA SINICA, 2009, 58 (07) :4402-4407
[6]   A novel stability theorem for fractional systems and its applying in synchronizing fractional chaotic system based on back-stepping approach [J].
Hu Jian-Bing ;
Han Yan ;
Zhao Ling-Dong .
ACTA PHYSICA SINICA, 2009, 58 (04) :2235-2239
[7]   A chaotic secure communication scheme using fractional chaotic systems based on an extended fractional Kalman filter [J].
Kiani-B, Arman ;
Fallahi, Kia ;
Pariz, Naser ;
Leung, Henry .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (03) :863-879
[8]   Adaptive control for a class of chaotic systems with uncertain parameters [J].
Li, Z ;
Han, CZ .
ACTA PHYSICA SINICA, 2001, 50 (05) :847-850
[9]  
Lu JJ, 2007, CHINESE PHYS, V16, P1586, DOI 10.1088/1009-1963/16/6/016
[10]   Recent history of fractional calculus [J].
Machado, J. Tenreiro ;
Kiryakova, Virginia ;
Mainardi, Francesco .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (03) :1140-1153