Output stabilization of semilinear parabolic systems with bounded feedback

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Date

2019-02-01

Authors

El Alami, Abdessamad
Boutoulout, Ali
Yafia, Radouane

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Journal ISSN

Volume Title

Publisher

Ankara Üniversitesi Fen Fakültesi

Abstract

In this paper, we will study the output feedback stabilization of infinite-semilinear parabolic systems evolving on a spatial domain Ω and in a subregion ω of Ω (interior to Ω or on its boundary ∂Ω). We consider the condition of admissibility and the decomposition methods technique of the state space via the spectral properties of the system. Then we apply this approach to a regional exponential stabilization problem using bounded feedback. Applications are presented.

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Keywords

Output stabilzation, Semilinear systems, Bounded feedback

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