| In the present paper, three questions of stability of impulsive differential systems are discussed. 1. Some $o-stability criteria of comparison impulsive differential systems are established. Furthermore, various stability results for a very general ay-atem of impulsive differential equations are obtained using the method of piecewise continuous cone-valued Lyapunov functions. 2. The question of the practical stability in terms of two measures of impulsive differential systems is discussed. The interplay of two different measures, the discontinuities of solutions and the relation between A and A are considered delibrately. 3. Practical stability in terms of sets of impulsive differential systems is discussed. Some comparison results and some direct sufficient conditions are obtained. |