STABILITY IN ASYMMETRIC HOPFIELD NETS WITH TRANSMISSION DELAYS

Sufficient conditions are derived for the delay independent stability of the equilibria in Hopfield's graded response networks of the type d x(i)(t)/dt = -b(i)x(i)(t) + SIGMA(j=1)n a(ij)f(j)(mu(j)x(j)(t - tau(ij )) + F(i)(t) (i = 1,2,...,n) when the external inputs F(i) are held te mporally uniform. A generalization to continuously distributed delays is briefly indicated. Several illustrative examples are numerically si mulated and the results of simulations are graphically displayed.