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Strong ISS implies strong iISS for time-varying impulsive systems

Haimovich, Hernán
; 
Mancilla-Aguilar, J. L.
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Artículo de publicación periódica
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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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2020-12
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SISTEMAS HIBRIDOS, SISTEMAS NO LINEALES, SISTEMAS TIEMPO VARIANTES, ESTABILIDAD ASINTOTICA
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http://ri.itba.edu.ar/handle/20.500.14769/3277
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