TUTCRIS - Tampereen teknillinen yliopisto

TUTCRIS

Robustness of polynomial stability with respect to unbounded perturbations

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Yksityiskohdat

AlkuperäiskieliEnglanti
Sivut331-337
Sivumäärä7
JulkaisuSystems and Control Letters
Vuosikerta62
Numero4
DOI - pysyväislinkit
TilaJulkaistu - 2013
OKM-julkaisutyyppiA1 Alkuperäisartikkeli

Tiivistelmä

In this paper we present conditions for the preservation of strong and polynomial stability of a strongly continuous semigroup under unbounded finite rank perturbations of its infinitesimal generator. In addition, we also improve recent perturbation results for bounded finite rank perturbations. The results are illustrated with two examples. In the first one we consider the preservation of stability of a one-dimensional wave equation that has been stabilized polynomially with boundary feedback. In the second example we find conditions for the preservation of polynomial stability of a multiplication semigroup under unbounded rank one perturbations.

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