Abstract
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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
Submitted: December 20, 2011
Accepted: April 23, 2012
Published: October 15, 2012 |
Abstract:
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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.
Key words: Chaos, limited gain, nussbaum gain, synchronization, unknown control direction, ,
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Abstract
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Cite this Reference:
Aijun Zhou, Guang Ren, Chengyong Shao and Yong Liang, . Synchronization of Chaotic Systems by Using Limited Nussbaum Gain Method. Research Journal of Applied Sciences, Engineering and Technology, (20): 4007-4011.
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![](http://www.maxwellsci.com/images/RJASET-maxw.jpg) |
ISSN (Online): 2040-7467
ISSN (Print): 2040-7459 |
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