H. Ye et al., ROBUST STABILITY OF NONLINEAR TIME-DELAY SYSTEMS WITH APPLICATIONS TONEURAL NETWORKS, IEEE transactions on circuits and systems. 1, Fundamental theory andapplications, 43(7), 1996, pp. 532-543
In the first part of this paper we consider a family of nonlinear time
-delay systems with uncertainties. For such systems, we present two ty
pes of sufficient conditions for robust stability, One type involves d
elay independent results while the other type involves delay dependent
results, In the second part, we apply these sufficient conditions to
a class of time-delay artificial neural networks and obtain practical
criteria to test asymptotic stability of the equilibria of these time-
delay artificial neural networks, with or without perturbations, These
criteria require verification of the definiteness of a certain matrix
, or verification of a certain inequality. Our results provide also a
method of estimating the domain of attraction of the asymptotically st
able equilibria of the time-delay neural networks, The applicability o
f our results is demonstrated by means of three specific examples.