Uniform stability of impulsive infinite delay differential equations with applications to systems with integral impulsive conditions

Abstract

In this paper, a class of impulsive infinite delay differential equations is considered. By employing Lyapunov–Razumikhin method and analysis techniques, several new sufficient conditions ensuring the uniform stability are obtained from impulsive perturbation and impulsive control point of view, respectively. The main advantage of those results is that they can be applied to the delay systems with integral impulsive conditions. As an application, we study a class of delayed neural networks with integral impulsive conditions and derive some results ensuring the uniform stability. Finally, two examples are given to show the effectiveness of the presented criteria.