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Stabilization of the Fractional-Order Chua Chaotic Circuit via the Caputo Derivative of a Single Input

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  • Chunde Yang
  • Hao Cai
  • Ping Zhou

Abstract

A modified fractional-order Chua chaotic circuit is proposed in this paper, and the chaotic attractor is obtained for . Based on the Mittag-Leffler function in two parameters and Gronwall’s Lemma, two control schemes are proposed to stabilize the modified fractional-order Chua chaotic system via the Caputo derivative of a single input. The numerical simulation shows the validity and feasibility of the control scheme.

Suggested Citation

  • Chunde Yang & Hao Cai & Ping Zhou, 2016. "Stabilization of the Fractional-Order Chua Chaotic Circuit via the Caputo Derivative of a Single Input," Discrete Dynamics in Nature and Society, Hindawi, vol. 2016, pages 1-5, January.
    • Handle: RePEc:hin:jnddns:4129756
    DOI: 10.1155/2016/4129756
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    Cited by:

    1. Alkahtani, Badr Saad T., 2016. "Chua's circuit model with Atangana–Baleanu derivative with fractional order," Chaos, Solitons & Fractals, Elsevier, vol. 89(C), pages 547-551.

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