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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Acceso en línea: | http://ri.itba.edu.ar/handle/123456789/3274 |
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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 |
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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 |
_version_ |
1765660923125563392 |