Global asymptotic stability of stochastic BAM neural networks with distributed delays and reaction-diffusion terms

Authors:
P. Balasubramaniam;C. Vidhya
Affiliations:
Department of Mathematics, Gandhigram Rural Institute-Deemed University, Gandhigram-624 302, Tamil Nadu, India;Department of Mathematics, Gandhigram Rural Institute-Deemed University, Gandhigram-624 302, Tamil Nadu, India
Venue:
Journal of Computational and Applied Mathematics
Year:
2010

Citing 8
Cited 5

Bidirectional associative memories

IEEE Transactions on Systems, Man and Cybernetics
Neural networks and fuzzy systems: a dynamical systems approach to machine intelligence

Neural networks and fuzzy systems: a dynamical systems approach to machine intelligence
Neural Networks: A Comprehensive Foundation

Neural Networks: A Comprehensive Foundation
Stability of Time-Delay Systems

Stability of Time-Delay Systems
On global asymptotic stability of recurrent neural networks with time-varying delays

Applied Mathematics and Computation
Global asymptotic stability of delayed bi-directional associative memory neural networks

Applied Mathematics and Computation
Mean square exponential stability of uncertain stochastic neural networks with time-varying delay

Neurocomputing
Novel robust stability criteria for stochastic hopfield neural networks with time delays

IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics

Quantified Score

Hi-index	7.29

Visualization

Abstract

This paper is concerned with global asymptotic stability of a class of reaction-diffusion stochastic Bi-directional Associative Memory (BAM) neural networks with discrete and distributed delays. Based on suitable assumptions, we apply the linear matrix inequality (LMI) method to propose some new sufficient stability conditions for reaction-diffusion stochastic BAM neural networks with discrete and distributed delays. The obtained results are easy to check and improve upon the existing stability results. An example is also given to demonstrate the effectiveness of the obtained results.