Adaptive synchronization of a class of uncertain chaotic systems

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March 2008, 9(2): 235-248. doi: 10.3934/dcdsb.2008.9.235

Adaptive synchronization of a class of uncertain chaotic systems

1.	Laboratory of Applied Mathematics, Department of Mathematics and Computer Science, Faculty of Science, University of Douala, P.O. Box 24157 Douala, Cameroon
2.	Department of Mathematics, Faculty of Science, University Marien Ngouabi, P.O. Box 69, Brazzaville, Congo

Received March 2007 Revised August 2007 Published December 2007

Abstract
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The aim of this paper is to study the adaptive synchronization of a class of uncertain chaotic systems in the drive-response framework. A robust adaptive observer-based response system is designed to synchronize a given chaotic system with uncertainties. An improved adaptation law on the upper bound of uncertainties is proposed to guarantee the boundedness of both the synchronization error and the estimated feedback coupling gains when a boundary layer technique is employed. A numerical example of the modified Chua’s circuit is considered to show the efficiency and effectiveness of this scheme.

Keywords: adaptive sliding mode control, practical synchronization, observers, robustness., Chaotic systems.

Mathematics Subject Classification: Primary: 93D05, 93D14; Secondary: 93D2.

Citation: Samuel Bowong, Jean Luc Dimi. Adaptive synchronization of a class of uncertain chaotic systems. Discrete & Continuous Dynamical Systems - B, 2008, 9 (2) : 235-248. doi: 10.3934/dcdsb.2008.9.235

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