Exponential p-stability of impulsive stochastic fuzzy cellular neural networks with mixed delays

Authors:
Qianhong Zhang;Lihui Yang
Affiliations:
Guizhou College of Finance and Economics, Guizhou Key Laboratory of Economics System Simulation, School of Mathematics and Statistics, Guiyang, Guizhou, P.R.China;Hunan City University, Department of Mathematics, Yiyang, Hunan, P.R.China
Venue:
WSEAS Transactions on Mathematics
Year:
2011

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Abstract

This paper deals with an impulsive stochastic fuzzy cellular neural networks with both time-varying and infinite distributed delays. Based on M-matrix theory and stochastic analysis technique, a sufficient condition is obtained to ensure the existence, uniqueness, and global exponential p-stability of the equilibrium point for the addressed impulsive stochastic fuzzy cellular neural network with mixed delays. Moreover a numerical example is given to illustrate the effectiveness of stability results.