A characterization of strong iISS for time-varying impulsive systems
"For general time-varying or switched (nonlinear) systems, converse Lyapunov theorems for stability are not available. In these cases, the integral input-to-state stability (iISS) property is not equivalent to the existence of an iISS-Lyapunov function but can still be characterized as the comb...
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Formato: | Ponencias en Congresos acceptedVersion |
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2020
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Acceso en línea: | http://ri.itba.edu.ar/handle/123456789/1921 |
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I32-R138-123456789-19212022-12-07T14:14:01Z A characterization of strong iISS for time-varying impulsive systems Haimovich, Hernán Mancilla-Aguilar, J. L. Cardone, Paula SISTEMAS NO LINEALES ESTABILIDAD METODO LYAPUNOV SISTEMAS TIEMPO VARIANTES "For general time-varying or switched (nonlinear) systems, converse Lyapunov theorems for stability are not available. In these cases, the integral input-to-state stability (iISS) property is not equivalent to the existence of an iISS-Lyapunov function but can still be characterized as the combination of global uniform asymptotic stability under zero input (0-GUAS) and uniformly bounded energy input-bounded state (UBEBS). For impulsive systems, asymptotic stability can be weak (when the asymptotic decay depends only on elapsed time) or strong (when such a decay depends also on the number of impulses that occurred). This paper shows that the mentioned characterization of iISS remains valid for time-varying impulsive systems, provided that stability is understood in the strong sense. " 2020-03-29T20:44:19Z 2020-03-29T20:44:19Z 2019-09 Ponencias en Congresos info:eu-repo/semantics/acceptedVersion 978-1728-12-363-9 http://ri.itba.edu.ar/handle/123456789/1921 en info:eu-repo/semantics/altIdentifier/doi/10.1109/RPIC.2019.8882162 application/pdf |
institution |
Instituto Tecnológico de Buenos Aires (ITBA) |
institution_str |
I-32 |
repository_str |
R-138 |
collection |
Repositorio Institucional Instituto Tecnológico de Buenos Aires (ITBA) |
language |
Inglés |
topic |
SISTEMAS NO LINEALES ESTABILIDAD METODO LYAPUNOV SISTEMAS TIEMPO VARIANTES |
spellingShingle |
SISTEMAS NO LINEALES ESTABILIDAD METODO LYAPUNOV SISTEMAS TIEMPO VARIANTES Haimovich, Hernán Mancilla-Aguilar, J. L. Cardone, Paula A characterization of strong iISS for time-varying impulsive systems |
topic_facet |
SISTEMAS NO LINEALES ESTABILIDAD METODO LYAPUNOV SISTEMAS TIEMPO VARIANTES |
description |
"For general time-varying or switched (nonlinear) systems, converse Lyapunov theorems for stability are not available. In these cases, the integral input-to-state stability (iISS) property is not equivalent to the existence of an iISS-Lyapunov function but can still be characterized as the combination of global uniform asymptotic stability under zero input (0-GUAS) and uniformly bounded energy input-bounded state (UBEBS). For impulsive systems, asymptotic stability can be weak (when the asymptotic decay depends only on elapsed time) or strong (when such a decay depends also on the number of impulses that occurred). This paper shows that the mentioned characterization of iISS remains valid for time-varying impulsive systems, provided that stability is understood in the strong sense. " |
format |
Ponencias en Congresos acceptedVersion |
author |
Haimovich, Hernán Mancilla-Aguilar, J. L. Cardone, Paula |
author_facet |
Haimovich, Hernán Mancilla-Aguilar, J. L. Cardone, Paula |
author_sort |
Haimovich, Hernán |
title |
A characterization of strong iISS for time-varying impulsive systems |
title_short |
A characterization of strong iISS for time-varying impulsive systems |
title_full |
A characterization of strong iISS for time-varying impulsive systems |
title_fullStr |
A characterization of strong iISS for time-varying impulsive systems |
title_full_unstemmed |
A characterization of strong iISS for time-varying impulsive systems |
title_sort |
characterization of strong iiss for time-varying impulsive systems |
publishDate |
2020 |
url |
http://ri.itba.edu.ar/handle/123456789/1921 |
work_keys_str_mv |
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_version_ |
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