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Dergiler / Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics / 2019 / Cilt: 68 - Sayı: 1

OUTPUT STABILIZATION OF SEMILINEAR PARABOLIC SYSTEMS WITH BOUNDED FEEDBACK

Abdessamad El ALAMI, Ali BOUTOULOUT, Radouane YAFIA

Sayfa
1114–1122
DOI
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Abstract

In this paper, we will study the output feedback stabilization ofinÖnite-semilinear parabolic systems evolving on a spatial domain and in asubregion ! of (interior to or on its boundary @). We consider the condition of admissibility and the decomposition methods technique of the statespace via the spectral properties of the system. Then we apply this approachto a regional exponential stabilization problem using bounded feedback. Applications are presented.