Exponential stability of nonlinear impulsive neutral differential equations with delays

In this article, a nonlinear impulsive neutral differential equation with time-varying delays is considered. By establishing a singular impulsive delay differential inequality and transforming the n -dimensional impulsive neutral delay differential equation to a 2 n -dimensional singular impulsive delay differential equation, some sufficient conditions ensuring the global exponential stability in PC 1 of the zero solution of an impulsive neutral differential equation are obtained. The results extend and improve on earlier publications. An example is given to illustrate the theory.