Paper Title:
Exponential Stability of Numerical Solutions to a Stochastic Delay Neural Networks
  Abstract

The main purpose of this paper is to develop a numerical Euler scheme and show the convergence of the numerical approximation solution to the true solution for stochastic delay neural networks. The definition of exponential mean square stability of numerical method is introduced. It is proved that the Euler scheme is exponentially stable in mean square sense. An example is given for illustration our result.

  Info
Periodical
Advanced Materials Research (Volumes 219-220)
Edited by
Helen Zhang, Gang Shen and David Jin
Pages
1035-1039
DOI
10.4028/www.scientific.net/AMR.219-220.1035
Citation
Q. M. Zhang, "Exponential Stability of Numerical Solutions to a Stochastic Delay Neural Networks", Advanced Materials Research, Vols. 219-220, pp. 1035-1039, 2011
Online since
March 2011
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