Stability of Neural Networks with Parameters Disturbed by White Noises

作者: Wuyi Zhang , Wudai Liao

DOI: 10.1007/978-3-540-87732-5_33

关键词: MathematicsArtificial neural networkStochastic neural networkStochastic processDynamical systemControl theoryStability (probability)Basis (linear algebra)Exponential stabilityMathematical optimizationEigenvalues and eigenvectors

摘要: Almost sure exponential stability (ASES) of neural networks with parameters disturbed by noises is studied, the basis which that in implemented very large scale integration (VLSI) approaches well defined white-noise stochastic process, and an appropriate way to impose random factors on deterministic proposed. By using theory dynamical system matrix theory, some criteria are obtained ensure ASES, convergent rate estimated. Also, capacity enduring well-designed The results this paper need only compute eigenvalues or verify negative-definite matrices constructed networks. An illustrative example given show effectiveness paper.

参考文章(6)
X. Mao, X. X. Liao, Stability of stochastic neural networks Neural, Parallel & Scientific Computations archive. ,vol. 4, pp. 205- 224 ,(1996) , 10.5555/229526.229538
X.X. Liao, X. Mao, Exponential stability and instability of stochastic neural networks 1 Stochastic Analysis and Applications. ,vol. 14, pp. 165- 185 ,(1996) , 10.1080/07362999608809432
X.X. Liao, X. Mao, Exponential stability of stochastic delay interval systems Systems & Control Letters. ,vol. 40, pp. 171- 181 ,(2000) , 10.1016/S0167-6911(00)00021-9
Steve Blythe, Xuerong Mao, Xiaoxin Liao, Stability of stochastic delay neural networks Journal of the Franklin Institute. ,vol. 338, pp. 481- 495 ,(2001) , 10.1016/S0016-0032(01)00016-3
W-D Liao, X-X Liao, Y Shen, Robust Stability of Time-Delayed Interval CNN in Noisy Environment Acta Automatica Sinica. ,(2004)