Strong ISS implies strong iISS for time-varying impulsive systems
"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 functi...
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| Autores principales: | , |
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| Formato: | Artículos de Publicaciones Periódicas acceptedVersion |
| Lenguaje: | Inglés |
| Publicado: |
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| Acceso en línea: | http://ri.itba.edu.ar/handle/123456789/3277 |
| Aporte de: |
| Sumario: | "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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