Exponential stability analysis for neural network with parameter fluctuations

Abstract

The stability of a neural network model may often be destroyed by the parameter deviations during the implementation. However, few results (if any) for the stability of such system with a certain deviation rate have been reported in the literature. In this paper, we present a simple delayed neural network model, in which each parameter deviates the reference point with a rate, and further investigate the robust exponential stability of this model and illustrate the relationship between the permissible fluctuation rate and the exponential convergence rate. © Springer-Verlag 2004.