I. Gyori et al., PRESERVATION OF STABILITY IN DELAY EQUATIONS UNDER DELAY PERTURBATIONS, Journal of mathematical analysis and applications, 220(1), 1998, pp. 290-312
Ne consider a class of linear delay equations with perturbed time lags
and present conditions which guarantee that the asymptotic stability
of the trivial solution of the equation at hand is preserved under the
se perturbations. As an example we show how our results can be used to
obtain an estimate on the maximum allowable sampling interval in the
stabilization of a hybrid system with feedback delays. We also present
applications of our perturbation theorem to obtain stability conditio
ns for delay equations with multiple delays. (C) 1998 Academic Press.