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

摘要

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.