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Prediction-based feedback control and synchronization algorithm of fractional-order chaotic systems

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Abstract

In this paper, a fractional-order prediction-based feedback control scheme (Fo-PbFC) is proposed to stabilize the unstable equilibrium points and to synchronize the fractional-order chaotic systems (FoCS). The design of Fo-PbFC, derived and based on Lyapunov stabilization arguments and matrix measure, is theoretically rigorous and represents a powerful and simple approach to provide a reasonable trade-off between computational overhead, storage space, numerical accuracy and stability analysis in control and synchronization of a class of FoCS. Numerical simulations are also provided to verify the validity and the feasibility of the proposed scheme by considering the fractional-order Newton–Leipnik chaotic and the fractional-order Mathieu–Van Der Pol hyperchaotic systems as illustrative examples.

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Authors and Affiliations

  1. Department of Electronics, Jijel University, P.O. Box 98, Ouled Aissa, 18000, Jijel, Algeria

    Ammar Soukkou & Abdelkrim Boukabou

  2. Department of Electric Power Engineering, University of August 20th, 1955, Skikda, Algeria

    Salah Leulmi

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  1. Ammar Soukkou
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  2. Abdelkrim Boukabou
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  3. Salah Leulmi
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Correspondence to Ammar Soukkou.

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Soukkou, A., Boukabou, A. & Leulmi, S. Prediction-based feedback control and synchronization algorithm of fractional-order chaotic systems. Nonlinear Dyn 85, 2183–2206 (2016). https://doi.org/10.1007/s11071-016-2823-0

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