Open Access
2013 Adaptive Synchronization and Antisynchronization of a Hyperchaotic Complex Chen System with Unknown Parameters Based on Passive Control
Xiaobing Zhou, Lianglin Xiong, Weiwei Cai, Xiaomei Cai
J. Appl. Math. 2013: 1-8 (2013). DOI: 10.1155/2013/845253

Abstract

This paper investigates the synchronization and antisynchronization problems of a hyperchaotic complex Chen system with unknown parameters based on the properties of a passive system. The essential conditions are derived under which the synchronization or antisynchronization error dynamical system could be equivalent to a passive system and be globally asymptotically stabilized at a zero equilibrium point via smooth state feedback. Corresponding parameter estimation update laws are obtained to estimate the unknown parameters as well. Numerical simulations verify the effectiveness of the theoretical analysis.

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Xiaobing Zhou. Lianglin Xiong. Weiwei Cai. Xiaomei Cai. "Adaptive Synchronization and Antisynchronization of a Hyperchaotic Complex Chen System with Unknown Parameters Based on Passive Control." J. Appl. Math. 2013 1 - 8, 2013. https://doi.org/10.1155/2013/845253

Information

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

zbMATH: 1266.93087
MathSciNet: MR3039732
Digital Object Identifier: 10.1155/2013/845253

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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