Exponential stability of stochastic reaction-diffusion uncertain fuzzy neural networks with mixed delays and Markovian jumping parameters

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:
Expert Systems with Applications: An International Journal
Year:
2012

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Abstract

In this paper, we investigate the robust exponential stability for stochastic reaction-diffusion uncertain fuzzy neural networks with mixed delays and Markovian jump parameters. By constructing a suitable Lyapunov functional and utilizing some inequality techniques, we obtain sufficient conditions for the exponential stability of the equilibrium solution. The obtained stability criteria can be easily checked by linear matrix inequality (LMI) techniques. Finally numerical examples are provided to illustrate the obtained theoretical result.