Abstract

In this paper, a class of hybrid switched systems with impulsive effects is considered. In light of the conventional input-to-state stability (ISS) and its various extensions (i-ISS, e-ISS and ei-ISS), we propose novel criteria on ISS, i-ISS, e-ISS and ei-ISS for these impulsive switched systems. The obtained results show that an impulsive switched system may be ISS, even when the continuous-time subsystems and discrete-time subsystems of corresponding hybrid systems are not ISS.

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