Characterization of integral input-to-state stability for nonlinear time-varyng systems of infinite dimension

For large classes of infinite-dimensional time-varying control systems, the equivalence between integral input-to-state stability (iISS) and the combination of global uniform asymptotic stability under zero input (0-GUAS) and uniformly bounded-energy input/bounded state (UBEBS) is established under...

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Autores principales: Mancilla Aguilar, Jose Luis, Rojas Ruiz, Jose, Haimovich, Hernan
Formato: Artículo de Publicación Periódica
Lenguaje:Inglés
Publicado: 2023
Materias:
SISTEMAS NO LINEALES
SISTSISTEMAS DE CONMUTACION
ESTABILIDAD
Acceso en línea:https://ri.itba.edu.ar/handle/123456789/4193
Aporte de:
Repositorio Institucional Instituto Tecnológico de Buenos Aires (ITBA) de Instituto Tecnológico de Buenos Aires (ITBA)
id I32-R138-123456789-4193
record_format dspace
spelling I32-R138-123456789-41932023-06-24T03:01:10Z Characterization of integral input-to-state stability for nonlinear time-varyng systems of infinite dimension Mancilla Aguilar, Jose Luis Rojas Ruiz, Jose Haimovich, Hernan SISTEMAS NO LINEALES SISTSISTEMAS DE CONMUTACION ESTABILIDAD For large classes of infinite-dimensional time-varying control systems, the equivalence between integral input-to-state stability (iISS) and the combination of global uniform asymptotic stability under zero input (0-GUAS) and uniformly bounded-energy input/bounded state (UBEBS) is established under a reasonable assumption of continuity of the trajectories with respect to the input, at the zero input. By particularizing to specific instances of infinite-dimensional systems, such as time-delay, or semilinear over Banach spaces, sufficient conditions are given in terms of the functions defining the dynamics. In addition, it is also shown that for semilinear systems whose nonlinear term satisfies an affine-in-the-state norm bound, it holds that iISS becomes equivalent to just 0-GUAS, a fact known to hold for bilinear systems. An additional important aspect is that the iISS notion considered is more general than the standard one. 2023-06-23T14:43:28Z 2023-06-23T14:43:28Z 2022 Artículo de Publicación Periódica Mancilla Aguilar, J. et al (2022) Characterization of integral input-to-state stability for nonlinear time-varyng systems of infinite dimension. [En linea]. Disponible en: https://ri.itba.edu.ar/handle/123456789/4193 https://ri.itba.edu.ar/handle/123456789/4193 en 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
SISTSISTEMAS DE CONMUTACION
ESTABILIDAD
spellingShingle SISTEMAS NO LINEALES
SISTSISTEMAS DE CONMUTACION
ESTABILIDAD
Mancilla Aguilar, Jose Luis
Rojas Ruiz, Jose
Haimovich, Hernan
Characterization of integral input-to-state stability for nonlinear time-varyng systems of infinite dimension
topic_facet SISTEMAS NO LINEALES
SISTSISTEMAS DE CONMUTACION
ESTABILIDAD
description For large classes of infinite-dimensional time-varying control systems, the equivalence between integral input-to-state stability (iISS) and the combination of global uniform asymptotic stability under zero input (0-GUAS) and uniformly bounded-energy input/bounded state (UBEBS) is established under a reasonable assumption of continuity of the trajectories with respect to the input, at the zero input. By particularizing to specific instances of infinite-dimensional systems, such as time-delay, or semilinear over Banach spaces, sufficient conditions are given in terms of the functions defining the dynamics. In addition, it is also shown that for semilinear systems whose nonlinear term satisfies an affine-in-the-state norm bound, it holds that iISS becomes equivalent to just 0-GUAS, a fact known to hold for bilinear systems. An additional important aspect is that the iISS notion considered is more general than the standard one.
format Artículo de Publicación Periódica
author Mancilla Aguilar, Jose Luis
Rojas Ruiz, Jose
Haimovich, Hernan
author_facet Mancilla Aguilar, Jose Luis
Rojas Ruiz, Jose
Haimovich, Hernan
author_sort Mancilla Aguilar, Jose Luis
title Characterization of integral input-to-state stability for nonlinear time-varyng systems of infinite dimension
title_short Characterization of integral input-to-state stability for nonlinear time-varyng systems of infinite dimension
title_full Characterization of integral input-to-state stability for nonlinear time-varyng systems of infinite dimension
title_fullStr Characterization of integral input-to-state stability for nonlinear time-varyng systems of infinite dimension
title_full_unstemmed Characterization of integral input-to-state stability for nonlinear time-varyng systems of infinite dimension
title_sort characterization of integral input-to-state stability for nonlinear time-varyng systems of infinite dimension
publishDate 2023
url https://ri.itba.edu.ar/handle/123456789/4193
work_keys_str_mv AT mancillaaguilarjoseluis characterizationofintegralinputtostatestabilityfornonlineartimevaryngsystemsofinfinitedimension
AT rojasruizjose characterizationofintegralinputtostatestabilityfornonlineartimevaryngsystemsofinfinitedimension
AT haimovichhernan characterizationofintegralinputtostatestabilityfornonlineartimevaryngsystemsofinfinitedimension
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