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An improved criterion on finite-time stability for fractional-order fuzzy cellular neural networks involving leakage and discrete delays

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  • Yang, Zhanying
  • Zhang, Jie
  • Zhang, Zhihui
  • Mei, Jun

Abstract

This paper concentrates on the finite-time stability (FTS) for fractional-order fuzzy cellular neural networks involving leakage and discrete delays. We propose a method to develop a new FTS criterion which is a supplement to the research on stability for fractional-order systems. The proof mainly depends on a new Henry–Gronwall integral inequality (HGII) with two discrete delays. This inequality generalizes some known ones which have played a significant role in the analysis on fractional-order systems. Finally, we demonstrate the correctness and advantages of the obtained criterion by supplying some examples.

Suggested Citation

  • Yang, Zhanying & Zhang, Jie & Zhang, Zhihui & Mei, Jun, 2023. "An improved criterion on finite-time stability for fractional-order fuzzy cellular neural networks involving leakage and discrete delays," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 203(C), pages 910-925.
    • Handle: RePEc:eee:matcom:v:203:y:2023:i:c:p:910-925
    DOI: 10.1016/j.matcom.2022.07.028
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    References listed on IDEAS

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