Impulsive differential systems: The problem of stability and practical stability Original Research Article

This article is devoted to the analysis properties of the solutions of nonlinear impulsive differential systems with perturbations on some hypersurfaces {ti(x)}{ti(x)}. The conditions of boundedness, practical stability (uniformly, attractive), stability (uniformly, asymptotical), attraction of the solutions perturbed system by using linear approximation are obtained.