Nonrobustness of asymptotic stability of impulsive systems with inputs

"Suitable continuity and boundedness assumptions on the function f defining the dynamics of a time-varying nonimpulsive system with inputs are known to make the system inherit stability properties from the zero-input system. Whether this type of robustness holds or not for impulsive systems was...

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Autores principales: Haimovich, Hernán, Mancilla-Aguilar, J. L.
Formato: Artículos de Publicaciones Periódicas acceptedVersion
Lenguaje:Inglés
Publicado: info
Materias:
SISTEMAS NO LINEALES
SISTEMAS TIEMPO VARIANTES
ESTABILIDAD ASINTOTICA
Acceso en línea:http://ri.itba.edu.ar/handle/123456789/3278
Aporte de:
Repositorio Institucional Instituto Tecnológico de Buenos Aires (ITBA) de Instituto Tecnológico de Buenos Aires (ITBA)
id I32-R138-123456789-3278
record_format dspace
spelling I32-R138-123456789-32782022-12-07T13:06:59Z Nonrobustness of asymptotic stability of impulsive systems with inputs Haimovich, Hernán Mancilla-Aguilar, J. L. SISTEMAS NO LINEALES SISTEMAS TIEMPO VARIANTES ESTABILIDAD ASINTOTICA "Suitable continuity and boundedness assumptions on the function f defining the dynamics of a time-varying nonimpulsive system with inputs are known to make the system inherit stability properties from the zero-input system. Whether this type of robustness holds or not for impulsive systems was still an open question. By means of suitable (counter)examples, we show that such stability robustness with respect to the inclusion of inputs cannot hold in general, not even for impulsive systems with time-invariant flow and jump maps. In particular, we show that zero-input global uniform asymptotic stability (0-GUAS) does not imply converging input converging state (CICS), and that 0-GUAS and uniform bounded-energy input bounded state (UBEBS) do not imply integral input-to-state stability (iISS). We also comment on available existing results that, however, show that suitable constraints on the allowed impulse–time sequences indeed make some of these robustness properties possible." info:eu-repo/date/embargoEnd/2022-01-01 2020-12-28T18:31:17Z 2020-12-28T18:31:17Z 2020-12 Artículos de Publicaciones Periódicas info:eu-repo/semantics/acceptedVersion 0005-1098 http://ri.itba.edu.ar/handle/123456789/3278 en info:eu-repo/semantics/altIdentifier/doi/10.1016/j.automatica.2020.109238 info:eu-repo/grantAgreement/ANPCyT/PICT/2018-1385/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 NO LINEALES
SISTEMAS TIEMPO VARIANTES
ESTABILIDAD ASINTOTICA
spellingShingle SISTEMAS NO LINEALES
SISTEMAS TIEMPO VARIANTES
ESTABILIDAD ASINTOTICA
Haimovich, Hernán
Mancilla-Aguilar, J. L.
Nonrobustness of asymptotic stability of impulsive systems with inputs
topic_facet SISTEMAS NO LINEALES
SISTEMAS TIEMPO VARIANTES
ESTABILIDAD ASINTOTICA
description "Suitable continuity and boundedness assumptions on the function f defining the dynamics of a time-varying nonimpulsive system with inputs are known to make the system inherit stability properties from the zero-input system. Whether this type of robustness holds or not for impulsive systems was still an open question. By means of suitable (counter)examples, we show that such stability robustness with respect to the inclusion of inputs cannot hold in general, not even for impulsive systems with time-invariant flow and jump maps. In particular, we show that zero-input global uniform asymptotic stability (0-GUAS) does not imply converging input converging state (CICS), and that 0-GUAS and uniform bounded-energy input bounded state (UBEBS) do not imply integral input-to-state stability (iISS). We also comment on available existing results that, however, show that suitable constraints on the allowed impulse–time sequences indeed make some of these robustness properties possible."
format Artículos de Publicaciones Periódicas
acceptedVersion
author Haimovich, Hernán
Mancilla-Aguilar, J. L.
author_facet Haimovich, Hernán
Mancilla-Aguilar, J. L.
author_sort Haimovich, Hernán
title Nonrobustness of asymptotic stability of impulsive systems with inputs
title_short Nonrobustness of asymptotic stability of impulsive systems with inputs
title_full Nonrobustness of asymptotic stability of impulsive systems with inputs
title_fullStr Nonrobustness of asymptotic stability of impulsive systems with inputs
title_full_unstemmed Nonrobustness of asymptotic stability of impulsive systems with inputs
title_sort nonrobustness of asymptotic stability of impulsive systems with inputs
publishDate info
url http://ri.itba.edu.ar/handle/123456789/3278
work_keys_str_mv AT haimovichhernan nonrobustnessofasymptoticstabilityofimpulsivesystemswithinputs
AT mancillaaguilarjl nonrobustnessofasymptoticstabilityofimpulsivesystemswithinputs
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