Practical stability of impulsive control systems (Q1323065)

We use the method of vector Lyapunov functions to study practical stability of control systems with impulse effects. We shall first consider a unified method of specifying admissible control sets corresponding to any desired concept of practical stability of the impulsive control system (ICS) by reducing it to the study of impulsive differential systems (IDS) without controls. We also discuss a direct approach of reducing the complicated ICS to a simpler impulsive control system, which may be easier to investigate. Examples are given to illustrate our results.