THE STABILITY IN NEURAL NETWORK WITH DELAY AND DYNAMICAL THRESHOLDEFFECTS

1 IntroductionThe researches on dynamics of neural network systems have been arousinga great deal of interests for more than thirty years. In last ten years, many.researches focused on the study of dynamics of neural network models withdelay. In fact, neural networks often have times delay in reality, for exampledue to the finite switching speed of amplifiers in electronic neural networks.Thus, a large amount of excellent results appeared consecutively 1]--5]. In thispaper, what we study is…

THE STABILITY IN NEURAL NETWORK WITH DELAY AND DYNAMICAL THRESHOLD EFFECTS

In this paper, sufficient conditions are derived for the globally asymptotical stability of the equilibrium in a kind of differential equation with delay originally from modeling the action of a neuron with dynamical threshold effects. Both strict analysis concerns with Lyapunov functional and Computer simulation are given in this paper. Furthermore, we generalize the results in the higher-dimensional equations.