Output stabilization of semilinear parabolic systems with bounded feedback

Year 2019, Volume: 68 Issue: 1, 1114 - 1122, 01.02.2019

Abdessamad El Alami Ali Boutoulout Radouane Yafia

https://doi.org/10.31801/cfsuasmas.508205

https://izlik.org/JA46LC84NW

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.

Keywords

Output stabilzation , semilinear systems , bounded feedback

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