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

Zhanying Yang, Jie Zhang, Zhihui Zhang and Jun Mei

Mathematics and Computers in Simulation (MATCOM), 2023, vol. 203, issue C, 910-925

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.

Keywords: Fuzzy cellular neural networks; Finite-time stability; Leakage delay; Discrete delay; Integral inequality (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:203:y:2023:i:c:p:910-925

DOI: 10.1016/j.matcom.2022.07.028

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