Stabilization of Kawahara equation with input saturation and saturated boundary feedback - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2023

Stabilization of Kawahara equation with input saturation and saturated boundary feedback

Résumé

In this paper, we study the stabilizability of the Kawahara equation in a bounded interval (0,L) by a saturated internal control and boundary feedback. We prove the exponential stabilization of the corresponding closed-loop system. We first show the well-posedness of the nonlinear system using linear, nonlinear semigroup theory and fixed-point arguments. Next, we prove two stabilization results by means of interior-saturating feedback and boundary-saturated feedback as well, using observability inequalities and certain unique continuation principle.
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Dates et versions

hal-04314431 , version 1 (29-11-2023)
hal-04314431 , version 2 (26-09-2024)

Identifiants

  • HAL Id : hal-04314431 , version 1

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Hugo Parada, Subrata Majumdar. Stabilization of Kawahara equation with input saturation and saturated boundary feedback. 2023. ⟨hal-04314431v1⟩
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