Impulsive Stabilization Of A Class Of Differential Equations

In this paper, we have proposed proper definitions of " Impulsive Stabilization ", which concern about the ODE system, the 2nd order DDE and the piece-wise DDE models. By applying Liapunov techniques, we get the corresponding criteria for the impulsive stabilization of these models. And specific arithmetics are given. All the results have shown that: impulsive controls can make the solutions of various systems-which may not be stable -into some kind of stability. Furthermore, these controls are mostly practicable. Thus we have generalized the results of related articles.