Converging-input convergent-state and related properties of time-varying impulsive systems

"Very recently, it has been shown that the standard notion of stability for impulsive systems, whereby the state is ensured to approach the equilibrium only as continuous time elapses, is too weak to allow for any meaningful type of robustness in a time-varying impulsive system setting. By stre...

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Autores principales: Mancilla-Aguilar, J. L., Haimovich, Hernán
Formato: Artículos de Publicaciones Periódicas acceptedVersion
Lenguaje:Inglés
Publicado: 2020
Materias:
Acceso en línea:http://ri.itba.edu.ar/handle/123456789/3274
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spelling I32-R138-123456789-32742022-12-07T13:06:43Z Converging-input convergent-state and related properties of time-varying impulsive systems Mancilla-Aguilar, J. L. Haimovich, Hernán SISTEMAS HIBRIDOS SISTEMAS TIEMPO VARIANTES SISTEMAS NO LINEALES "Very recently, it has been shown that the standard notion of stability for impulsive systems, whereby the state is ensured to approach the equilibrium only as continuous time elapses, is too weak to allow for any meaningful type of robustness in a time-varying impulsive system setting. By strengthening the notion of stability so that convergence to the equilibrium occurs not only as time elapses but also as the number of jumps increases, some facts that are well-established for time-invariant nonimpulsive systems can be recovered for impulsive systems. In this context, our contribution is to provide novel results consisting in rather mild conditions under which stability under zero input implies stability under inputs that converge to zero in some appropriate sense." 2020-12-23T18:24:43Z 2020-12-23T18:24:43Z 2020-07-03 Artículos de Publicaciones Periódicas info:eu-repo/semantics/acceptedVersion 2475-1456 http://ri.itba.edu.ar/handle/123456789/3274 en info:eu-repo/semantics/altIdentifier/doi/10.1109/LCSYS.2020.2991389 info:eu-repo/grantAgreement/ANPCyT/PICT/2018-1385/AR. Ciudad Autónoma de Buenos Aires 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 HIBRIDOS
SISTEMAS TIEMPO VARIANTES
SISTEMAS NO LINEALES
spellingShingle SISTEMAS HIBRIDOS
SISTEMAS TIEMPO VARIANTES
SISTEMAS NO LINEALES
Mancilla-Aguilar, J. L.
Haimovich, Hernán
Converging-input convergent-state and related properties of time-varying impulsive systems
topic_facet SISTEMAS HIBRIDOS
SISTEMAS TIEMPO VARIANTES
SISTEMAS NO LINEALES
description "Very recently, it has been shown that the standard notion of stability for impulsive systems, whereby the state is ensured to approach the equilibrium only as continuous time elapses, is too weak to allow for any meaningful type of robustness in a time-varying impulsive system setting. By strengthening the notion of stability so that convergence to the equilibrium occurs not only as time elapses but also as the number of jumps increases, some facts that are well-established for time-invariant nonimpulsive systems can be recovered for impulsive systems. In this context, our contribution is to provide novel results consisting in rather mild conditions under which stability under zero input implies stability under inputs that converge to zero in some appropriate sense."
format Artículos de Publicaciones Periódicas
acceptedVersion
author Mancilla-Aguilar, J. L.
Haimovich, Hernán
author_facet Mancilla-Aguilar, J. L.
Haimovich, Hernán
author_sort Mancilla-Aguilar, J. L.
title Converging-input convergent-state and related properties of time-varying impulsive systems
title_short Converging-input convergent-state and related properties of time-varying impulsive systems
title_full Converging-input convergent-state and related properties of time-varying impulsive systems
title_fullStr Converging-input convergent-state and related properties of time-varying impulsive systems
title_full_unstemmed Converging-input convergent-state and related properties of time-varying impulsive systems
title_sort converging-input convergent-state and related properties of time-varying impulsive systems
publishDate 2020
url http://ri.itba.edu.ar/handle/123456789/3274
work_keys_str_mv AT mancillaaguilarjl converginginputconvergentstateandrelatedpropertiesoftimevaryingimpulsivesystems
AT haimovichhernan converginginputconvergentstateandrelatedpropertiesoftimevaryingimpulsivesystems
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