Прямой метод Ляпунова в задаче об устойчивости систем с импульсным воздействием

The problem of stability of the zero solution of a nonlinear system of ordinary differential equations with impulse perturbation at fixed moments is considered. The system of linear approximation is supposed to be non-asymtotically stable. Sufficient conditions on the uniform asymptotic stability of the complete system are obtained.