Strong ISS implies strong iISS for time-varying impulsive systems
Strong ISS implies strong iISS for time-varying impulsive systems
Fecha
2020-12
Autores
Haimovich, Hernán
Mancilla-Aguilar, J. L.
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"For time-invariant (nonimpulsive) systems, it is already well-known that the input-to-state stability (ISS) property is strictly stronger than integral input-to-state stability (iISS). Very recently, we have shown that under suitable uniform boundedness and continuity assumptions on the function defining system dynamics, ISS implies iISS also for time-varying systems. In this paper, we show that this implication remains true for impulsive systems, provided that asymptotic stability is understood in a sense stronger than usual for impulsive systems"