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Sliding mode synchronization of fractional-order complex chaotic system with parametric and external disturbances

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  • Nian, Fuzhong
  • Liu, Xinmeng
  • Zhang, Yaqiong

Abstract

In this paper, the synchronization of two fractional-order complex chaotic systems with unknown parameters and external disturbances are studied. Based on the Lyapunov stability theory and fractional-order integral sliding surface, a novel active sliding mode controller is proposed to synchronize fractional-order complex chaotic systems. Moreover, the controller is robust to unknown parameters and external disturbances. Numerical simulations are implemented. Results indicate the proposed control strategy is robust and effective.

Suggested Citation

  • Nian, Fuzhong & Liu, Xinmeng & Zhang, Yaqiong, 2018. "Sliding mode synchronization of fractional-order complex chaotic system with parametric and external disturbances," Chaos, Solitons & Fractals, Elsevier, vol. 116(C), pages 22-28.
    • Handle: RePEc:eee:chsofr:v:116:y:2018:i:c:p:22-28
    DOI: 10.1016/j.chaos.2018.09.017
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    References listed on IDEAS

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    1. Nian, Fuzhong & Liu, Weilong, 2016. "Hybrid synchronization of heterogeneous chaotic systems on dynamic network," Chaos, Solitons & Fractals, Elsevier, vol. 91(C), pages 554-561.
    2. Laskin, Nick, 2000. "Fractional market dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 287(3), pages 482-492.
    3. Wei, Zhouchao & Akgul, Akif & Kocamaz, Uğur Erkin & Moroz, Irene & Zhang, Wei, 2018. "Control, electronic circuit application and fractional-order analysis of hidden chaotic attractors in the self-exciting homopolar disc dynamo," Chaos, Solitons & Fractals, Elsevier, vol. 111(C), pages 157-168.
    4. Xu, Yong & Gu, Rencai & Zhang, Huiqing, 2011. "Effects of random noise in a dynamical model of love," Chaos, Solitons & Fractals, Elsevier, vol. 44(7), pages 490-497.
    5. Chao Luo & Xingyuan Wang, 2013. "Chaos Generated From The Fractional-Order Complex Chen System And Its Application To Digital Secure Communication," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 24(04), pages 1-23.
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    Cited by:

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