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Title

Stability analysis for stochastic Cohen-Grossberg neural network with distributed delays and reaction diffusion terms

Author

Kun Hu, Qiankun Song

Citation

Vol. 8  No. 7  pp. 144-152

Abstract

This paper mainly deals with the almost surely exponential stability and exponential p-th moment stability for a class of stochastic Cohen?Grossberg neural networks with distributed delays and reaction?diffusion term. By constructing suitable Lyapunov functional, employing the nonnegative semi-martingale convergence theorem and applying matrix theory and stochastic analysis technique, two delay-independent and easily verifiable sufficient conditions are obtained to ensure the existence, uniqueness, almost surely exponential stability and exponential p-th moment stability of the equilibrium point for the addressed stochastic Cohen-Grossberg neural network with distributed delays and reaction-diffusion terms.

Keywords

Cohen?Grossberg neural network; almost surely exponential stability; exponential p-th moment stability.

URL

http://paper.ijcsns.org/07_book/200807/20080722.pdf