Finitegain ς∞ stability from disturbance to output of impulsive systems with time delay

This paper studies finitegain ς∞ stability from disturbance to output of delayed impulsive systems. By employing the method of Lyapunov function, several criteria of finitegain ς∞ stability from disturbance to output are established. It shows that the linear delayed differential systems can be finitegain ς∞ stabilized from disturbance to output using impulsive feedback control even there is unstable matrix. Moreover, delayed differential equations also may be finitegain ς∞ stable from disturbance to output under an appropriate sequence of impulses treated as disturbances. Two examples and their simulations are also given to illustrate our results.