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Adaptive Synchronization between Different Chaotic Systems with Unknown Parameters

M. Srivastava, S. K. Agrawal, V. Mishra Published in Algorithm

IJAIS Proceedings on International Conference and workshop on Advanced Computing 2013
Year of Publication: 2013
© 2012 by IJAIS Journal
10.5120/icwac1301
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  1. M Srivastava, S K Agrawal and V Mishra. Article: Adaptive Synchronization between Different Chaotic Systems with Unknown Parameters. IJAIS Proceedings on International Conference and workshop on Advanced Computing 2013 ICWAC(1):1-5, June 2013. BibTeX

    @article{key:article,
    	author = "M. Srivastava and S. K. Agrawal and V. Mishra",
    	title = "Article: Adaptive Synchronization between Different Chaotic Systems with Unknown Parameters",
    	journal = "IJAIS Proceedings on International Conference and workshop on Advanced Computing 2013",
    	year = 2013,
    	volume = "ICWAC",
    	number = 1,
    	pages = "1-5",
    	month = "June",
    	note = "Published by Foundation of Computer Science, New York, USA"
    }
    

Abstract

This article deals with synchronization between different chaotic systems such as Genesio-Tesi and Qi system using adaptive control method. Based on Lyapunov stability theory, the synchronization between a pair of chaotic systems with fully unknown parameters is derived. An adaptive control law and a parameter update rule for unknown parameters are designed such that the chaotic Qi system is controlled to be the chaotic Genesio-Tesi system. Numerical simulation results which are carried out using MATLAB, show that the adaptive control method is effective, easy to implement and reliable for synchronizing of the considered chaotic systems.

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Keywords

Chaos, Synchronization, Genesio-Tesi system, Qi system, Adaptive control method