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The Stability of General Neural Network

Zhong Shouming;Li Zhengliang(Dept.of Applied Mathemitics,UEST of China Chengdu 610054)  
This paper,studies the problem of the stability for general neural network.By the method of variation of parameters,the method of the Liapunov function and inequality analysis,the authors established sufficient conditions of the global k-exponential stability and the global asymptotic stability for the neural network.In particular,the stability theorem for Hpofield model and linear exchange link model is obtained.
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