Explicit conditions of exponential stability for a linear impulsive delay differential equation

Abstract

For a scalar delay differential equation x(t) + ∑mk = 1 Ak(t)x[hk(t)] = 0, t ε [0, ∞), x(t) ε R, hk(t) ≤ t, with impulsive conditions x(τj) = Bjx(τj - 0), 1imj→∞ τj = ∞ explicit exponential stability results are obtained. © 1997 Academic Press.