Adaptive tracking control and synchronization of fractional hyper-chaotic Lorenz system with unknown parameters

被引：30

作者：

Zhao Ling-Dong ^{[1
]}

Hu Jian-Bing ^{[1
]}

Liu Xu-Hui ^{[1
]}

机构：

[1] N Univ China, Natl Key Lab Elect Measurement Technol, Key Lab Instrumentat Sci & Dynam Measurement, Minist Educ, Taiyuan 030051, Peoples R China

来源：

ACTA PHYSICA SINICA | 2010年 / 59卷 / 04期

关键词：

fractional; hyper chaotic; tracking control and synchronizing; adaptive;

D O I：

10.7498/aps.59.2305

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Based on the fractional stability theory, the controller and recognizing rules of the uncertain parameters are designed Tracking control and synchronization of fractional hyper chaotic Lorenz system is realized. Numerical simulation verifies the effectiveness of the approach of this paper

引用

页码：2305 / 2309

页数：5

共 14 条

[1] Chaotic dynamics of the fractional Lorenz system
Grigorenko, I
Grigorenko, E
[J]. PHYSICAL REVIEW LETTERS, 2003, 91 (03)
[2] A novel stability theorem for fractional systems and its applying in synchronizing fractional chaotic system based on back-stepping approach
Hu Jian-Bing
Han Yan
Zhao Ling-Dong
[J]. ACTA PHYSICA SINICA, 2009, 58 (04) : 2235 - 2239
[3] Synchronizing fractional chaotic systems based on Lyapunov equation
Hu Jian-Bing
Han Yan
Zhao Ling-Dong
[J]. ACTA PHYSICA SINICA, 2008, 57 (12) : 7522 - 7526
[4] Chaos in the fractional order Chen system and its control
Li, CG
Chen, GR
[J]. CHAOS SOLITONS & FRACTALS, 2004, 22 (03) : 549 - 554
[5] Chaos in Chen's system with a fractional order
Li, CP
Peng, GJ
[J]. CHAOS SOLITONS & FRACTALS, 2004, 22 (02) : 443 - 450
[6] Analysis of Chua's dual chaotic circuit
Liu, CX
[J]. ACTA PHYSICA SINICA, 2002, 51 (06) : 1198 - 1202
[7] Mandelbort B.B., 1983, The Fractal Geometry of Nature
[8] Sheu LJ, 2009, INT J NONLIN SCI NUM, V10, P33
[9] TU II, 2005, CHINESE PHYS, V14, P1755
[10] Hyperchaotic Lorenz system
Wang Xing-Yuan
Wang Ming-Jun
[J]. ACTA PHYSICA SINICA, 2007, 56 (09) : 5136 - 5141

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