practical stability, h-manifolds, impulsive functional differential equations, variable impulsive perturbations, Lyapunov–Razumikhin method, Mathematics, QA1-939

The present paper is devoted to the problems of practical stability with respect to h-manifolds for impulsive control differential equations with variable impulsive perturbations. We will consider these problems in light of the Lyapunov−Razumikhin method of piecewise continuous functions. The new results are applied to an impulsive control cellular neural network model with variable impulsive perturbations.