Open Access
2013 Reduced-Order Antisynchronization of Chaotic Systems via Adaptive Sliding Mode Control
Wafaa Jawaada, M. S. M. Noorani, M. Mossa Al-Sawalha, M. Abdul Majid
Abstr. Appl. Anal. 2013: 1-12 (2013). DOI: 10.1155/2013/415652


A novel reduced-order adaptive sliding mode controller is developed and experimented in this paper to antisynchronize two different chaotic systems with different order. Based upon the parameters modulation and the adaptive sliding mode control techniques, we show that dynamical evolution of third-order chaotic system can be antisynchronized with the projection of a fourth-order chaotic system even though their parameters are unknown. The techniques are successfully applied to two examples: firstly Lorenz (4th-order) and Lorenz (3rd-order) and secondly the hyperchaotic Lü (4th-order) and Chen (3rd-order). Theoretical analysis and numerical simulations are shown to verify the results.


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Wafaa Jawaada. M. S. M. Noorani. M. Mossa Al-Sawalha. M. Abdul Majid. "Reduced-Order Antisynchronization of Chaotic Systems via Adaptive Sliding Mode Control." Abstr. Appl. Anal. 2013 1 - 12, 2013.


Published: 2013
First available in Project Euclid: 27 February 2014

zbMATH: 1339.93035
MathSciNet: MR3108665
Digital Object Identifier: 10.1155/2013/415652

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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