Adaptive synchronization of uncertain Liu system via nonlinear input

doi:10.1088/1674-1056/17/2/027

Abstract

Abstract This paper addresses the adaptive synchronization for uncertain Liu system via a nonlinear input. By using a single nonlinear controller, the approach is utilized to implement the synchronization of Liu system with total parameters unknown. This method is simple and can be easily designed. What is more, it improves the existing conclusions in Ref [12]. Simulation results prove that the controller is effective and feasible in the end.

Keywords: adaptive synchronization Liu system uncertain parameters nonlinear controller

Received: 04 April 2007
Revised: 03 May 2007
Accepted manuscript online:

PACS:	05.45.Xt	(Synchronization; coupled oscillators)
	05.45.Gg	(Control of chaos, applications of chaos)

Fund: Project supported by the Educational Commission of Hubei Province of China, (Grant No 080056).

Cite this article:

Hu Jia(胡佳) and Zhang Qun-Jiao(张群娇) Adaptive synchronization of uncertain Liu system via nonlinear input 2008 Chin. Phys. B 17 503

[1]	Adaptive synchronization of a class of fractional-order complex-valued chaotic neural network with time-delay Mei Li(李梅), Ruo-Xun Zhang(张若洵), and Shi-Ping Yang(杨世平). Chin. Phys. B, 2021, 30(12): 120503.
[2]	Adaptive synchronization of chaotic systems with less measurement and actuation Shun-Jie Li(李顺杰), Ya-Wen Wu(吴雅文), and Gang Zheng(郑刚). Chin. Phys. B, 2021, 30(10): 100503.
[3]	Robust output feedback cruise control for high-speed train movement with uncertain parameters Li Shu-Kai (李树凯), Yang Li-Xing (杨立兴), Li Ke-Ping (李克平). Chin. Phys. B, 2015, 24(1): 010503.
[4]	Periodic synchronization of community networks with non-identical nodes uncertain parameters and adaptive coupling strength Chai Yuan (柴元), Chen Li-Qun (陈立群). Chin. Phys. B, 2014, 23(3): 030504.
[5]	Robust finite-time stabilization of unified chaotic complex systems with certain and uncertain parameters Liu Ping (刘平). Chin. Phys. B, 2013, 22(7): 070501.
[6]	Adaptive H_∞ synchronization of chaotic systems via linear and nonlinear feedback control Fu Shi-Hui(付士慧), Lu Qi-Shao(陆启韶), and Du Ying(杜莹) . Chin. Phys. B, 2012, 21(6): 060507.
[7]	Complete synchronization of double-delayed R?ssler systems with uncertain parameters Sang Jin-Yu(桑金玉), Yang Ji(杨吉), and Yue Li-Juan(岳立娟) . Chin. Phys. B, 2011, 20(8): 080507.
[8]	Synchronization of hyperchaotic Chen systems: a class of the adaptive control approach Wei Wei(魏伟), Li Dong-Hai(李东海), and Wang Jing(王京). Chin. Phys. B, 2010, 19(4): 040507.
[9]	Adaptive synchronization of uncertain chaotic systems via switching mechanism Feng Yi-Fu(冯毅夫) and Zhang Qing-Ling(张庆灵). Chin. Phys. B, 2010, 19(12): 120504.
[10]	Synchronization and parameter identification of one class of realistic chaotic circuit Wang Chun-Ni(王春妮), Ma Jun(马军), Chu Run-Tong(褚润通), and Li Shi-Rong(李世荣). Chin. Phys. B, 2009, 18(9): 3766-3771.
[11]	Circuitry implementation of a novel nonautonomous hyperchaotic Liu system based on sine input Luo Xiao-Hua(罗小华). Chin. Phys. B, 2009, 18(8): 3304-3308.
[12]	Adaptive synchronization in an array of asymmetric coupled neural networks Gao Ming(高明) and Cui Bao-Tong (崔宝同). Chin. Phys. B, 2009, 18(1): 76-83.
[13]	Breaking chaotic shift key communication via adaptive key identification Ren Hai-Peng(任海鹏), Han Chong-Zhao(韩崇昭), and Liu Ding(刘丁) . Chin. Phys. B, 2008, 17(4): 1202-1208.
[14]	Adaptive coupled synchronization of non-autonomous systems in ring networks Guo Liu-Xiao(过榴晓), Xu Zhen-Yuan(徐振源), and Hu Man-Feng(胡满峰). Chin. Phys. B, 2008, 17(3): 836-841.
[15]	Robust adaptive synchronization of chaotic neural networks by slide technique Lou Xu-Yang(楼旭阳) and Cui Bao-Tong(崔宝同). Chin. Phys. B, 2008, 17(2): 520-528.

No Suggested Reading articles found!

Viewed

Full text

Abstract

Cited

Metrics
Related Articles

Adaptive synchronization of uncertain Liu system via nonlinear input

Cite this article:

Online attention