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 nn-dimensional impulsive neutral delay differential equation to a 2n2n-dimensional singular impulsive delay differential equation, some sufficient conditions ensuring the global exponential stability in PC1 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.