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2013 Robust Synchronization of Incommensurate Fractional-Order Chaotic Systems via Second-Order Sliding Mode Technique
Hua Chen, Wen Chen, Binwu Zhang, Haitao Cao
J. Appl. Math. 2013(none): 1-11 (2013). DOI: 10.1155/2013/321253

Abstract

A second-order sliding mode (SOSM) controller is proposed to synchronize a class of incommensurate fractional-order chaotic systems with model uncertainties and external disturbances. Based on the chattering free SOSM control scheme, it can be rigorously proved that the dynamics of the synchronization error is globally asymptotically stable by using the Lyapunov stability theorem. Finally, numerical examples are provided to illustrate the effectiveness of the proposed controller design approach.

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Hua Chen. Wen Chen. Binwu Zhang. Haitao Cao. "Robust Synchronization of Incommensurate Fractional-Order Chaotic Systems via Second-Order Sliding Mode Technique." J. Appl. Math. 2013 1 - 11, 2013. https://doi.org/10.1155/2013/321253

Information

Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 1271.93130
MathSciNet: MR3082040
Digital Object Identifier: 10.1155/2013/321253

Rights: Copyright © 2013 Hindawi

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