Original Articles: Mean square exponential stability of impulsive stochastic reaction-diffusion Cohen-Grossberg neural networks with delays

Authors:
Dingshi Li;Danhua He;Daoyi Xu
Affiliations:
Yangtze Center of Mathematics, Sichuan University, Chengdu 610064, PR China;Department of Mathematics, Zhejiang International Studies University, Hangzhou 310012, PR China;Yangtze Center of Mathematics, Sichuan University, Chengdu 610064, PR China
Venue:
Mathematics and Computers in Simulation
Year:
2012

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Abstract

In this paper, we establish a method to study the mean square exponential stability of the zero solution of impulsive stochastic reaction-diffusion Cohen-Grossberg neural networks with delays. By using the properties of M-cone and inequality technique, we obtain some sufficient conditions ensuring mean square exponential stability of the zero solution of impulsive stochastic reaction-diffusion Cohen-Grossberg neural networks with delays. The sufficient conditions are easily checked in practice by simple algebra methods and have a wider adaptive range. Two examples are also discussed to illustrate the efficiency of the obtained results.