A New Approach to Stability of Impulsive Differential Equations

In this work, new approach to stability theory of impulsive differential equations is proposed. Instead of putting all components of the state variable x in one Liapunov function, several functions of partial components of x, which can be much easier constructed, are used so that the conditions ensuring that stability are simpler and less restrictive. Also, an example is given to illustrate the advantages of the obtained results