Lyapunov-Razumikhin method for asymptotic stability of sets for impulsive functional differential equations

Abstract

In the present paper, we study the global stability of sets of sufficiently general type with respect to impulsive functional differential equations with variable impulsive perturbations. The main results are obtained by means of piecewise continuous Lyapunov functions and the use of the Razumikhin technique.

Keywords

• Global stability of sets
• Lyapunov's direct method
• impulsive functional differential equations