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arXiv · 1909.00858

Strong ISS implies strong iISS for time-varying impulsive systems

Hernan Haimovich·José L. Mancilla-Aguilar
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Abstract

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.

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Hernan Haimovich, José L. Mancilla-Aguilar. 2019-09-02. Strong ISS implies strong iISS for time-varying impulsive systems. https://arxiv.org/abs/1909.00858

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