Input-to-state stability for hybrid delayed systems with delay-dependent impulses

This paper considers the input-to-state stability (ISS) problem for a class of hybrid time-delay systems with delay-dependent impulses by employing admissible impulsive edge-dependent average dwell time (AIED-ADT) switching. Under this method some sufficient conditions for ISS are presented. The results show that when all switching subsystems are ISS, even the impulses are destabilizing, a kind of switching signals with some corresponding positive lower bounds can still guarantee the ISS of the whole systems. Different from the existing results of related problems, the method can get smaller positive lower bounds. Finally, a numerical example to illustrate the effectiveness of the present method.