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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Autores principales: Haimovich, Hernán, Mancilla-Aguilar, J. L., Cardone, Paula
Formato: Ponencias en Congresos acceptedVersion
Lenguaje:Inglés
Publicado: 2020
Materias:
SISTEMAS NO LINEALES
ESTABILIDAD
METODO LYAPUNOV
SISTEMAS TIEMPO VARIANTES
Acceso en línea:http://ri.itba.edu.ar/handle/123456789/1921
Aporte de:
Repositorio Institucional Instituto Tecnológico de Buenos Aires (ITBA) de Instituto Tecnológico de Buenos Aires (ITBA)
id I32-R138-123456789-1921
record_format dspace
spelling 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
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