Exponential stability for impulsive delay differential equations by Razumikhin method ✩

In this paper, we study exponential stability for impulsive delay differential equation of the form ˙x(t) = f (t,xt ), t = tk, Δx(t) = Ik(t, xt−), t = tk, k ∈ N. By employing the Razumikhin technique and Lyapunov functions, several exponential stability criteria are established. Some examples are also discussed to illustrate our results.  2004 Elsevier Inc. All rights reserved.