Artículo de Publicación Periódica:
Characterization of integral input-to-state stability for nonlinear time-varyng systems of infinite dimension

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dc.contributor.authorMancilla Aguilar, Jose Luis
dc.contributor.authorRojas Ruiz, Jose
dc.contributor.authorHaimovich, Hernan
dc.date.accessioned2023-06-23T14:43:28Z
dc.date.available2023-06-23T14:43:28Z
dc.date.issued2022
dc.description.abstractFor 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.
dc.identifier.citationMancilla 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
dc.identifier.urihttps://ri.itba.edu.ar/handle/123456789/4193
dc.language.isoen
dc.subjectSISTEMAS NO LINEALES
dc.subjectSISTSISTEMAS DE CONMUTACION
dc.subjectESTABILIDAD
dc.titleCharacterization of integral input-to-state stability for nonlinear time-varyng systems of infinite dimension
dc.typeArtículo de Publicación Periódica
dspace.entity.typeArtículo de Publicación Periódica
itba.description.filiationFil: Haimovich, Hernan. Centro Internacional Franco-Argentino de Ciencias de la Información y Sistemas; Argentina.
itba.description.filiationFil: Rojas Ruiz, Jose. Instituto Tecnológico de Buenos Aires; Argentina.
itba.description.filiationFil: Mancilla Aguilar, Jose Luis. Instituto Tecnológico de Buenos Aires; Argentina.

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