Dynamic Analysis of Stochastic Recurrent Neural Networks

Authors:
Chuangxia Huang;Yigang He;Ping Chen
Affiliations:
College of Mathematics and Computing Science, Changsha University of Science and Technology, Changsha, P.R. China 410076 and College of Electrical and Information Engineering, Hunan University, Ch ...;College of Electrical and Information Engineering, Hunan University, Changsha, P.R. China 410082;College of Mathematics and Computing Science, Changsha University of Science and Technology, Changsha, P.R. China 410076
Venue:
Neural Processing Letters
Year:
2008

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Abstract

This paper addresses the issue of pth moment exponential stability of stochastic recurrent neural networks (SRNN) with time-varying interconnections and delays. With the help of the Dini derivative of the expectation of V(t, X(t)) "along" the solution X(t) of the model and the technique of Halanay-type inequality, some novel sufficient conditions on pth moment exponential stability of the trivial solution has been established. Conclusions of the development as presented in this paper have gone beyond some published results and are helpful to design stability of networks when stochastic noise is taken into consideration. An example is also given to illustrate the effectiveness of our results.