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Linear Control of Fractional-Order Financial Chaotic Systems with Input Saturation

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  • Junhai Luo
  • Guanjun Li
  • Heng Liu

Abstract

In this paper, control of fractional-order financial chaotic systems with saturated control input is investigated by means of state-feedback control method. The saturation problem is tackled by using Gronwall-Bellman lemma and a memoryless nonlinearity function. Based on Gronwall inequality and Laplace transform technique, two sufficient conditions are achieved for the asymptotical stability of the fractional-order financial chaotic systems with fractional orders 0 < α ≤ 1 and 1 < α < 2, respectively. Finally, simulation studies are carried out to show the effectiveness of the proposed linear control method.

Suggested Citation

  • Junhai Luo & Guanjun Li & Heng Liu, 2014. "Linear Control of Fractional-Order Financial Chaotic Systems with Input Saturation," Discrete Dynamics in Nature and Society, Hindawi, vol. 2014, pages 1-8, August.
    • Handle: RePEc:hin:jnddns:802429
    DOI: 10.1155/2014/802429
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    Cited by:

    1. Mahmoud, Gamal M. & Aboelenen, Tarek & Abed-Elhameed, Tarek M. & Farghaly, Ahmed A., 2021. "On boundedness and projective synchronization of distributed order neural networks," Applied Mathematics and Computation, Elsevier, vol. 404(C).

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