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.