On the Practical Stability of the Solutions of Impulsive Systems of Differential-Difference Equations with Variable Impulsive Perturbations

In the present paper the question of the practical stability of the solutions of impulsive systems of differential-difference equations with variable impulsive perturbations is discussed. In the investigations piecewise continuous functions are used which are analogues of Lyapunov’s functions, and a technique such that certain minimal subsets of a suitable space of piecewise continuous functions are chosen, by the elements of which the derivatives of Lyapunov’s functions are estimated.