Uniform asymptotic stability of switched nonlinear time-varying systems and detectability of reduced limiting control systems

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"This paper is concerned with the study of both, local and global, uniform asymptotic stability for switched nonlinear time-varying (NLTV) systems through the detectability of output-maps. With this aim, the notion of reduced limiting control systems for switched NLTV systems whose switchings v...

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Autores principales: Mancilla-Aguilar, J. L., García Galiñanes, Rafael
Formato: Artículos de Publicaciones Periódicas acceptedVersion
Lenguaje:Inglés
Publicado: 2020
Materias:
SISTEMAS NO LINEALES
ESTABILIDAD ASINTOTICA
FUNCIONES DE LYAPUNOV
INTERRUPTORES DE TIEMPO
Acceso en línea:http://ri.itba.edu.ar/handle/123456789/1860
Aporte de:
Repositorio Institucional Instituto Tecnológico de Buenos Aires (ITBA) de Instituto Tecnológico de Buenos Aires (ITBA)
id I32-R138-123456789-1860
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spelling I32-R138-123456789-18602022-12-07T13:06:18Z Uniform asymptotic stability of switched nonlinear time-varying systems and detectability of reduced limiting control systems Mancilla-Aguilar, J. L. García Galiñanes, Rafael SISTEMAS NO LINEALES ESTABILIDAD ASINTOTICA FUNCIONES DE LYAPUNOV INTERRUPTORES DE TIEMPO "This paper is concerned with the study of both, local and global, uniform asymptotic stability for switched nonlinear time-varying (NLTV) systems through the detectability of output-maps. With this aim, the notion of reduced limiting control systems for switched NLTV systems whose switchings verify time/state-dependent constraints, and the concept of weak zero-state detectability for those reduced limiting systems are introduced. Necessary and sufficient conditions for the (global)uniform asymptotic stability of families of trajectories of the switched system are obtained in terms of this detectability property. These sufficient conditions in conjunction with the existence of multiple weak Lyapunov functions yield a criterion for the (global) uniform asymptotic stability of families of trajectories of the switched system. This criterion can be seen as an extension of the classical Krasovskii-LaSalle theorem. An interesting feature of the results is that no dwell-Time assumptions are made. Moreover, they can be used for establishing the global uniform asymptotic stability of the switched NLTV system under arbitrary switchings. The effectiveness of the proposed results is illustrated by means of various interesting examples, including the stability analysis of a semiquasi-Z-source inverter." 2020-01-14T15:29:39Z 2020-01-14T15:29:39Z 2019-07 Artículos de Publicaciones Periódicas info:eu-repo/semantics/acceptedVersion 0018-9286 http://ri.itba.edu.ar/handle/123456789/1860 en info:eu-repo/semantics/altIdentifier/doi/10.1109/TAC.2018.2872517 info:eu-repo/grantAgreement/ANPCyT/PICT/2014-2599/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 NO LINEALES
ESTABILIDAD ASINTOTICA
FUNCIONES DE LYAPUNOV
INTERRUPTORES DE TIEMPO
spellingShingle SISTEMAS NO LINEALES
ESTABILIDAD ASINTOTICA
FUNCIONES DE LYAPUNOV
INTERRUPTORES DE TIEMPO
Mancilla-Aguilar, J. L.
García Galiñanes, Rafael
Uniform asymptotic stability of switched nonlinear time-varying systems and detectability of reduced limiting control systems
topic_facet SISTEMAS NO LINEALES
ESTABILIDAD ASINTOTICA
FUNCIONES DE LYAPUNOV
INTERRUPTORES DE TIEMPO
description "This paper is concerned with the study of both, local and global, uniform asymptotic stability for switched nonlinear time-varying (NLTV) systems through the detectability of output-maps. With this aim, the notion of reduced limiting control systems for switched NLTV systems whose switchings verify time/state-dependent constraints, and the concept of weak zero-state detectability for those reduced limiting systems are introduced. Necessary and sufficient conditions for the (global)uniform asymptotic stability of families of trajectories of the switched system are obtained in terms of this detectability property. These sufficient conditions in conjunction with the existence of multiple weak Lyapunov functions yield a criterion for the (global) uniform asymptotic stability of families of trajectories of the switched system. This criterion can be seen as an extension of the classical Krasovskii-LaSalle theorem. An interesting feature of the results is that no dwell-Time assumptions are made. Moreover, they can be used for establishing the global uniform asymptotic stability of the switched NLTV system under arbitrary switchings. The effectiveness of the proposed results is illustrated by means of various interesting examples, including the stability analysis of a semiquasi-Z-source inverter."
format Artículos de Publicaciones Periódicas
acceptedVersion
author Mancilla-Aguilar, J. L.
García Galiñanes, Rafael
author_facet Mancilla-Aguilar, J. L.
García Galiñanes, Rafael
author_sort Mancilla-Aguilar, J. L.
title Uniform asymptotic stability of switched nonlinear time-varying systems and detectability of reduced limiting control systems
title_short Uniform asymptotic stability of switched nonlinear time-varying systems and detectability of reduced limiting control systems
title_full Uniform asymptotic stability of switched nonlinear time-varying systems and detectability of reduced limiting control systems
title_fullStr Uniform asymptotic stability of switched nonlinear time-varying systems and detectability of reduced limiting control systems
title_full_unstemmed Uniform asymptotic stability of switched nonlinear time-varying systems and detectability of reduced limiting control systems
title_sort uniform asymptotic stability of switched nonlinear time-varying systems and detectability of reduced limiting control systems
publishDate 2020
url http://ri.itba.edu.ar/handle/123456789/1860
work_keys_str_mv AT mancillaaguilarjl uniformasymptoticstabilityofswitchednonlineartimevaryingsystemsanddetectabilityofreducedlimitingcontrolsystems
AT garciagalinanesrafael uniformasymptoticstabilityofswitchednonlineartimevaryingsystemsanddetectabilityofreducedlimitingcontrolsystems
_version_ 1765660763739914240

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