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2012 (Vol. 4, Issue: 20)
Article Information:

Synchronization of Chaotic Systems by Using Limited Nussbaum Gain Method

Aijun Zhou, Guang Ren, Chengyong Shao and Yong Liang
Corresponding Author:  Aijun Zhou 

Key words:  Chaos, limited gain, nussbaum gain, synchronization, unknown control direction, ,
Vol. 4 , (20): 4007-4011
Submitted Accepted Published
December 20, 2011 April 23, 2012 October 15, 2012
Abstract:

In this study, we propose a novel kind of limited Nussbaum gain method to solve the unknown control direction problem of chaotic systems. It is necessary to consider the unknown control direction situation when chaos synchronization is used for secure communication. Also it is very useful to design a small gain with a Nussbaum method if the Nussbaum gain method is used in a real engineering system. The smaller a gain is designed, the safer and more stable a Nussbaum gain method is used. According to the above principles, a limited gain Nussbaum method is used to solve the uncertainties of chaotic system, such as unknown parameters, unknown nonlinear functions and unknown input or control directions. At last, detailed numerical simulation is done to testify the rightness and effectiveness of the proposed method.
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  Cite this Reference:
Aijun Zhou, Guang Ren, Chengyong Shao and Yong Liang, 2012. Synchronization of Chaotic Systems by Using Limited Nussbaum Gain Method.  Research Journal of Applied Sciences, Engineering and Technology, 4(20): 4007-4011.
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ISSN (Online):  2040-7467
ISSN (Print):   2040-7459
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