Strict practical stability of nonlinear impulsive systems by employing two Lyapunov-like functions

This paper develops the concepts of strict practical stability of ordinary differential equations to impulsive differential system. Strict practical stability, known as stability in tube-like domain, can be made to estimate upper bound and lower bound of the solutions of impulsive differential equations. This note provides several stability criteria for strict practical stability of nonlinear dynamical systems with impulse effects by employing two Lyapunov-like functions under general restrictions. It may provide a greater prospect to solve problems which exhibit impulsive effects.