Uniform input-to-state stability for switched and time-varying impulsive systems

"We provide a Lyapunov-function-based method for establishing different types of uniform input-to-state stability (ISS) for time-varying impulsive systems. The method generalizes to impulsive systems with inputs the well established philosophy of assessing the stability of a system by reducing...

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Autores principales: Mancilla-Aguilar, J. L., Haimovich, Hernán
Formato: Artículos de Publicaciones Periódicas acceptedVersion
Lenguaje:Inglés
Publicado: 2022
Materias:
Acceso en línea:http://ri.itba.edu.ar/handle/123456789/3874
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id I32-R138-123456789-3874
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spelling I32-R138-123456789-38742022-12-07T13:06:37Z Uniform input-to-state stability for switched and time-varying impulsive systems Mancilla-Aguilar, J. L. Haimovich, Hernán SISTEMAS HIBRIDOS SISTEMAS DE CONMUTACION FUNCIONES DE LYAPUNOV SISTEMAS TIEMPO VARIANTES CRITERIO DE ESTABILIDAD "We provide a Lyapunov-function-based method for establishing different types of uniform input-to-state stability (ISS) for time-varying impulsive systems. The method generalizes to impulsive systems with inputs the well established philosophy of assessing the stability of a system by reducing the problem to that of the stability of a scalar system given by the evolution of the Lyapunov function on the system trajectories. This reduction is performed in such a way that the resulting scalar system has no inputs. Novel sufficient conditions for ISS are provided, which generalize existing results for time-invariant and time-varying, switched and nonswitched, impulsive and nonimpulsive systems in several directions." 2022-05-10T16:02:08Z 2022-05-10T16:02:08Z 2020-12 Artículos de Publicaciones Periódicas info:eu-repo/semantics/acceptedVersion 0018-9286 http://ri.itba.edu.ar/handle/123456789/3874 en info:eu-repo/semantics/altIdentifier/doi/10.1109/TAC.2020.2968580 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 DE CONMUTACION
FUNCIONES DE LYAPUNOV
SISTEMAS TIEMPO VARIANTES
CRITERIO DE ESTABILIDAD
spellingShingle SISTEMAS HIBRIDOS
SISTEMAS DE CONMUTACION
FUNCIONES DE LYAPUNOV
SISTEMAS TIEMPO VARIANTES
CRITERIO DE ESTABILIDAD
Mancilla-Aguilar, J. L.
Haimovich, Hernán
Uniform input-to-state stability for switched and time-varying impulsive systems
topic_facet SISTEMAS HIBRIDOS
SISTEMAS DE CONMUTACION
FUNCIONES DE LYAPUNOV
SISTEMAS TIEMPO VARIANTES
CRITERIO DE ESTABILIDAD
description "We provide a Lyapunov-function-based method for establishing different types of uniform input-to-state stability (ISS) for time-varying impulsive systems. The method generalizes to impulsive systems with inputs the well established philosophy of assessing the stability of a system by reducing the problem to that of the stability of a scalar system given by the evolution of the Lyapunov function on the system trajectories. This reduction is performed in such a way that the resulting scalar system has no inputs. Novel sufficient conditions for ISS are provided, which generalize existing results for time-invariant and time-varying, switched and nonswitched, impulsive and nonimpulsive systems in several directions."
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 Uniform input-to-state stability for switched and time-varying impulsive systems
title_short Uniform input-to-state stability for switched and time-varying impulsive systems
title_full Uniform input-to-state stability for switched and time-varying impulsive systems
title_fullStr Uniform input-to-state stability for switched and time-varying impulsive systems
title_full_unstemmed Uniform input-to-state stability for switched and time-varying impulsive systems
title_sort uniform input-to-state stability for switched and time-varying impulsive systems
publishDate 2022
url http://ri.itba.edu.ar/handle/123456789/3874
work_keys_str_mv AT mancillaaguilarjl uniforminputtostatestabilityforswitchedandtimevaryingimpulsivesystems
AT haimovichhernan uniforminputtostatestabilityforswitchedandtimevaryingimpulsivesystems
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