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含混合时滞的随机Hopfiled神经网络的 全局指数稳定性

, PP. 303-308

Keywords: 随机Hopfiled神经网络,混合时滞,Razumikin定理,全局指数稳定

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Abstract:

考虑一类含混合时滞的随机Hopfiled神经网络,运用Razumikin方法和不等式技巧得到了该网络平凡解的p阶指数稳定性,推广了一些已有的结果,并利用一个例子,说明结果的有效性.

References

[1]  Hopfield J J. Neurons with gradad response have collective computational properties like those of two-state neurons[J]. Proc Natl Acad Sci,1984,81:3088-3092.
[2]  Gopalsamy K, He X Z. Stability in asymmetric Hopfield nets with trasmission delays[J]. Physica,1994,D76:344-358.
[3]  Zhao H Y. Global asymptotic stability of Hopfield neural network involving distributed delays[J]. Neural Networks,2004,17:47-53.
[4]  Zhou J, Li S Y, Yang Z G. Global exponential stability of Hopfield neural network with distributed delays[J]. Appl Math Model,2009,33:1513-1520.
[5]  Zhang Q, Wei X P, Xu J. Global exponential stability of Hopfield neural network with continuously distributed[J]. Phys Lett,2003,A315:431-436.
[6]  Li S Y, Huang Y M, Xu D Y. On the equilibrium and stability of a class of neural network with mixed delays[J]. Advance in Neural Network,2006,1:141-146.
[7]  Wang Z D, Liu Y R, Liu X H. On global asymptotic stability of neural network with discrete and distributed delays[J]. Phys Lett,2005,A345(4/5/6):299-308.
[8]  Liu Y R, Wang Z D, Liu X H. Global exponential stability of generalized recurrent neural network with discrete and distributed delays[J]. Neural Network,2006,19(5):667-675.
[9]  Haykin S. Neural Networks[M]. New Jersey:Prentice-Hall, Englewood Cliffs,1994.
[10]  Liao X X, Mao X R. Exponential stability and instability of stochastic neural networks[J]. Stochast Anal Appl,1996,14:165-185.
[11]  Wan L, Sun J H. Mean square exponential stability of stochastic delayed Hopfield networks[J]. Phys Lett,2005,A343:306-318.
[12]  Liu Y R, Wang Z D, Liu X H. On global exponential stability of generalized stochastic neural network with mixed time-delays[J]. Neurocomputing,2006,70:314-326.
[13]  Rakkiyappan R, Balasubramaniam P. LMI conditions for stability of stochastic recurrent neural network with distributed delays[J]. Chao, Soliton Frac,2009,40:1688-1696.
[14]  Guo Y X. Mean square global asymptotic stability of stochastic recurrent neural network with distributed delays[J]. Appl Math Comput,2009,215:791-795.
[15]  Sun Y H, Cao J D. p-th moment exponential stability of stochastic recurrent neural network with time-varying delays[J]. Nonlinear Anal:RWA,2007,8:1171-1185.
[16]  Mao X R. Razumikhin-type theorems on exponential stability of stochastic functional differential equations[J]. Stochastic Process Anal,1996,65:233-250.
[17]  Li X D, Fu X L. Stability analysis of stochastic functional differential equations with infinite delay and its application to recurrent neural networks[J]. J Comput Appl Math,2010,234:407-417.
[18]  Beckenbach E, Bellman R. Inequalities[M]. New York:Spinger-Verlag,1961.

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