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Extended Luenberger-type observer for a class of semilinear time fractional diffusion systems

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  • Ge, Fudong
  • Chen, YangQuan

Abstract

This paper is concerned with the design of an extended Luenberger-type observer to deal with the observation problem for a class of semilinear time fractional diffusion systems, which are usually used to well describe those sub-diffusion processes, such as water moving through grounds, or proteins diffusing across cell membranes etc. Mittag-Leffler stability for both the linearized and semilinear observer error systems are explored by using a backstepping-based technique. Moreover, a simulation example is provided to confirm the effectiveness of our results.

Suggested Citation

  • Ge, Fudong & Chen, YangQuan, 2017. "Extended Luenberger-type observer for a class of semilinear time fractional diffusion systems," Chaos, Solitons & Fractals, Elsevier, vol. 102(C), pages 229-235.
    • Handle: RePEc:eee:chsofr:v:102:y:2017:i:c:p:229-235
    DOI: 10.1016/j.chaos.2017.05.011
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    References listed on IDEAS

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    1. Mahmoud M. El-Borai, 2004. "The fundamental solutions for fractional evolution equations of parabolic type," International Journal of Stochastic Analysis, Hindawi, vol. 2004, pages 1-15, January.
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    Cited by:

    1. Xie, Bing & Ge, Fudong, 2023. "Parameters and order identification of fractional-order epidemiological systems by Lévy-PSO and its application for the spread of COVID-19," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    2. Mathiyalagan, K. & Renugadevi, T. & Nidhi, A. Shree & Ma, Yong-Ki & Cao, Jinde, 2022. "Boundary state feedback control for semilinear fractional-order reaction diffusion systems," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).

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