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Chaos : Synchronization of chaotic systems with uncertain chaotic parameters by linear coupling and pragmatical adaptive tracking

By Zheng-Ming Ge and Cheng-Hsiung Yang

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Book Id: WPLBN0002169311
Format Type: PDF eBook :
File Size: Serial Publication
Reproduction Date: 31 December 2008

Title: Chaos : Synchronization of chaotic systems with uncertain chaotic parameters by linear coupling and pragmatical adaptive tracking  
Author: Zheng-Ming Ge and Cheng-Hsiung Yang
Volume: Issue : December 2008
Language: English
Subject: Science, Physics, Natural Science
Collections: Periodicals: Journal and Magazine Collection (Contemporary), Chaos Collection
Historic
Publication Date:
Publisher: American Institute of Physics

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And Cheng-Hsiung Yang, Z. G. (n.d.). Chaos : Synchronization of chaotic systems with uncertain chaotic parameters by linear coupling and pragmatical adaptive tracking. Retrieved from http://hawaiilibrary.net/


Description
Description: We study the synchronization of general chaotic systems which satisfy the Lipschitz condition only, with uncertain chaotic parameters by linear coupling and pragmatical adaptive tracking. The uncertain parameters of a system vary with time due to aging, environment, and disturbances. A sufficient condition is given for the asymptotical stability of common zero solution of error dynamics and parameter update dynamics by the Ge–Yu–Chen pragmatical asymptotical stability theorem based on equal probability assumption. Numerical results are studied for a Lorenz system and a quantum cellular neural network oscillator to show the effectiveness of the proposed synchronization strategy.

 

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