A work on the interval stability of impulsive systems with time-lag

In this work, we take into consideration a class of linear periodic impulsive systemswith time delay. We obtain certain sufficient criteria for the asymptotic stability of that class ofsystems. The conditions obtained here allow to reduce the stability study of the original systemto an analogous problem of a system of linear impulsive differential equations without timelag.This auxiliary result is used for investigation of the interval stability of a linear impulsivesystem with time-lag under very general assumptions about the dynamic properties of acontinuous and discrete components. Two examples are given to illustrate the electiveness ofthe obtained results.

A work on the interval stability of impulsive systems with time-lag Keywords:

Linear impulsive system with time lag , interval stability , the Lyapunov’s direct method