Uniform stability of nonlinear time-varying impulsive systems with eventually uniformly bounded impulse frequency

"We provide novel sufficient conditions for stability of nonlinear and time-varying impulsive systems. These conditions generalize, extend, and strengthen many existing results. Different types of input-to-state stability (ISS), as well as zero-input global uniform asymptotic stability (0-GUAS)...

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Detalles Bibliográficos
Autores principales: Mancilla-Aguilar, J. L., Haimovich, Hernán, Feketa, Petro
Formato: Artículos de Publicaciones Periódicas acceptedVersion
Lenguaje:Inglés
Publicado: info
Materias:
SISTEMAS HIBRIDOS
SISTEMAS NO LINEALES
SISTEMAS TIEMPO VARIANTES
ESTABILIDAD ASINTOTICA
Acceso en línea:http://ri.itba.edu.ar/handle/123456789/3276
Aporte de:
Repositorio Institucional Instituto Tecnológico de Buenos Aires (ITBA) de Instituto Tecnológico de Buenos Aires (ITBA)
id I32-R138-123456789-3276
record_format dspace
spelling I32-R138-123456789-32762022-12-07T13:06:59Z Uniform stability of nonlinear time-varying impulsive systems with eventually uniformly bounded impulse frequency Mancilla-Aguilar, J. L. Haimovich, Hernán Feketa, Petro SISTEMAS HIBRIDOS SISTEMAS NO LINEALES SISTEMAS TIEMPO VARIANTES ESTABILIDAD ASINTOTICA "We provide novel sufficient conditions for stability of nonlinear and time-varying impulsive systems. These conditions generalize, extend, and strengthen many existing results. Different types of input-to-state stability (ISS), as well as zero-input global uniform asymptotic stability (0-GUAS), are covered by employing a two-measure framework and considering stability of both weak (decay depends only on elapsed time) and strong (decay depends on elapsed time and the number of impulses) flavors. By contrast to many existing results, the stability state bounds imposed are uniform with respect to initial time and also with respect to classes of impulse-time sequences where the impulse frequency is eventually uniformly bounded. We show that the considered classes of impulse-time sequences are substantially broader than other previously considered classes, such as those having fixed or (reverse) average dwell times, or impulse frequency achieving uniform convergence to a limit (superior or inferior). Moreover, our sufficient conditions are stronger, less conservative and more widely applicable than many existing results." info:eu-repo/date/embargoEnd/2022-12-01 2020-12-23T19:02:21Z 2020-12-23T19:02:21Z 2020-11 Artículos de Publicaciones Periódicas info:eu-repo/semantics/acceptedVersion 1751570X http://ri.itba.edu.ar/handle/123456789/3276 en info:eu-repo/semantics/altIdentifier/doi/10.1016/j.nahs.2020.100933 info:eu-repo/grantAgreement/ANPCyT/PICT/2018-01385/AR. Ciudad Autónoma de Buenos Aires info:eu-repo/semantics/embargoedAccess 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 NO LINEALES
SISTEMAS TIEMPO VARIANTES
ESTABILIDAD ASINTOTICA
spellingShingle SISTEMAS HIBRIDOS
SISTEMAS NO LINEALES
SISTEMAS TIEMPO VARIANTES
ESTABILIDAD ASINTOTICA
Mancilla-Aguilar, J. L.
Haimovich, Hernán
Feketa, Petro
Uniform stability of nonlinear time-varying impulsive systems with eventually uniformly bounded impulse frequency
topic_facet SISTEMAS HIBRIDOS
SISTEMAS NO LINEALES
SISTEMAS TIEMPO VARIANTES
ESTABILIDAD ASINTOTICA
description "We provide novel sufficient conditions for stability of nonlinear and time-varying impulsive systems. These conditions generalize, extend, and strengthen many existing results. Different types of input-to-state stability (ISS), as well as zero-input global uniform asymptotic stability (0-GUAS), are covered by employing a two-measure framework and considering stability of both weak (decay depends only on elapsed time) and strong (decay depends on elapsed time and the number of impulses) flavors. By contrast to many existing results, the stability state bounds imposed are uniform with respect to initial time and also with respect to classes of impulse-time sequences where the impulse frequency is eventually uniformly bounded. We show that the considered classes of impulse-time sequences are substantially broader than other previously considered classes, such as those having fixed or (reverse) average dwell times, or impulse frequency achieving uniform convergence to a limit (superior or inferior). Moreover, our sufficient conditions are stronger, less conservative and more widely applicable than many existing results."
format Artículos de Publicaciones Periódicas
acceptedVersion
author Mancilla-Aguilar, J. L.
Haimovich, Hernán
Feketa, Petro
author_facet Mancilla-Aguilar, J. L.
Haimovich, Hernán
Feketa, Petro
author_sort Mancilla-Aguilar, J. L.
title Uniform stability of nonlinear time-varying impulsive systems with eventually uniformly bounded impulse frequency
title_short Uniform stability of nonlinear time-varying impulsive systems with eventually uniformly bounded impulse frequency
title_full Uniform stability of nonlinear time-varying impulsive systems with eventually uniformly bounded impulse frequency
title_fullStr Uniform stability of nonlinear time-varying impulsive systems with eventually uniformly bounded impulse frequency
title_full_unstemmed Uniform stability of nonlinear time-varying impulsive systems with eventually uniformly bounded impulse frequency
title_sort uniform stability of nonlinear time-varying impulsive systems with eventually uniformly bounded impulse frequency
publishDate info
url http://ri.itba.edu.ar/handle/123456789/3276
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AT haimovichhernan uniformstabilityofnonlineartimevaryingimpulsivesystemswitheventuallyuniformlyboundedimpulsefrequency
AT feketapetro uniformstabilityofnonlineartimevaryingimpulsivesystemswitheventuallyuniformlyboundedimpulsefrequency
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