Title
Dynamic stability analysis of stochastic fractional-order memristor fuzzy BAM neural networks with delay and leakage terms.
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.
Year
DOI
Venue
2020
10.1016/j.amc.2019.124896
Applied Mathematics and Computation
Keywords
Field
DocType
Fractional-order,Fuzzy BAM neural networks,Stochastic,Uniform stability,Leakage term
Mean square,Applied mathematics,Uniqueness,Memristor,Leakage (electronics),Mathematical analysis,Fuzzy logic,Equilibrium point,Artificial neural network,Mathematics
Journal
Volume
ISSN
Citations 
369
0096-3003
0
PageRank 
References 
Authors
0.34
0
5
Name
Order
Citations
PageRank
M. Syed Ali151839.49
G. Narayanan232.41
Vineet Shekher321.71
Hamed H. Alsulami400.34
Tareq Saeed500.34