Mean square stability in the numerical simulation of stochastic delayed hopfield neural networks with markovian switching

Authors:
Hua Yang;Feng Jiang;Jiangrong Liu
Affiliations:
Department of Mathematics and Physics, Wuhan Polytechnic University, Wuhan, China;Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, China;Department of Mathematics and Physics, Wuhan Polytechnic University, Wuhan, China
Venue:
ISNN'10 Proceedings of the 7th international conference on Advances in Neural Networks - Volume Part I
Year:
2010

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Abstract

This paper is concerned with the mean square stability for stochastic delayed Hopfield neural networks with Markovian switching The sufficient conditions to guarantee the exponential stability in mean square of an equilibrium solution are given Moreover, we give the mean square stability of the numerical method The result shows that the numerical method shares the stability of the true solution.