Dynamic stability analysis of stochastic fractional-order memristor fuzzy BAM neural networks with delay and leakage terms

M. Syed Ali, Govindasamy Narayanan, Vineet Shekher, Hamed Alsulami and Tareq Saeed

Applied Mathematics and Computation, 2020, vol. 369, issue C

Abstract: This paper deals with the uniform stability in mean square of stochastic fractional-order memristor fuzzy BAM neural networks with delay and leakage terms. By employing the ideas of Cauchy–Schwartz inequality, Burkholder–Davis–Gundy inequality, analysis technique, some sufficient conditions are derived to ensure the uniform stability in mean square of such networks. The existence, uniqueness and stability of its equilibrium point are also showed. Two different fractional-order derivatives between the U-layer and V-layer are taken into consideration synchronously with fractional order 1/2 ≤ α < 1. Two examples are also provided to illustrate the effectiveness of our results.

Keywords: Fractional-order; Fuzzy BAM neural networks; Stochastic; Uniform stability; Leakage term (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (8)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:369:y:2020:i:c:s0096300319308884

DOI: 10.1016/j.amc.2019.124896

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