Stability Analysis for Impulsive Differential Systems in Terms of Two Measures

Employing the so called variational Lyapunov method, this paper discusses stability in terms of two measures for impulsive differential equations. In the case that the moments of impulsive effects are fixed, the paper establishes several stability criteria. By using these theorems, it can conclude stability properties of impulsive differential systems from the corresponding stability properties of the relevant ordinary differential systems. The results much generalize the known ones.