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Mittag–Leffler stabilization for short memory fractional reaction-diffusion systems via intermittent boundary control

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  • Li, Xing-Yu
  • Wu, Kai-Ning
  • Liu, Xiao-Zhen

Abstract

Under the designed intermittent boundary controller, the Mittag–Leffler stabilization for short memory fractional reaction-diffusion systems (SMFRDSs) is investigated. By employing the Lyapunov functional method and kinds of inequalities, we derive a sufficient criterion that ensures the Mittag–Leffler stability for SMFRDSs. Robust Mittag–Leffler stability is also considered when there are uncertainties in SMFRDSs. Besides, we analyze how the control gains and diffusion coefficient matrix affect the stability. Finally, we carry out the numerical simulation based on the above results.

Suggested Citation

  • Li, Xing-Yu & Wu, Kai-Ning & Liu, Xiao-Zhen, 2023. "Mittag–Leffler stabilization for short memory fractional reaction-diffusion systems via intermittent boundary control," Applied Mathematics and Computation, Elsevier, vol. 449(C).
    • Handle: RePEc:eee:apmaco:v:449:y:2023:i:c:s0096300323001285
    DOI: 10.1016/j.amc.2023.127959
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    References listed on IDEAS

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