Exponential stabilization of a linear Korteweg-de Vries equation with input saturation

Ahmat Mahamat Taboye; Mohamed Laabissi

doi:10.3934/eect.2021052

Article Contents

2022, Volume 11, Issue 5: 1519-1532. Doi: 10.3934/eect.2021052

This issue Previous Article Singular integro-differential equations with applications Next Article $ L^p $-exact controllability of partial differential equations with nonlocal terms

Exponential stabilization of a linear Korteweg-de Vries equation with input saturation

Ahmat Mahamat Taboye^1, , and
Mohamed Laabissi^2,

1.
Laboratory LIMA, Faculty of sciences, Chouaib Doukkali University, El-Jadida, Morocco
2.
LIMA, Faculty of sciences, Chouaib Doukkali University, El-Jadida, Morocco

^* Corresponding author: Ahmat Mahamat Taboye
^* Corresponding author: Ahmat Mahamat Taboye

Dedicated to Professor Mohammed Elarbi Achhab on the occasion of his retirement

Received: July 2021

Revised: August 2021

Early access: September 2021

Published: October 2022

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Abstract

This article deals with the issue of the exponential stability of a linear Korteweg-de Vries equation with input saturation. It is proved that the system is well-posed and the origin is exponentially stable for the closed loop system, by using the classical argument used in this kind of problems.

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Mathematics Subject Classification: Primary: 58F15, 58F17; Secondary: 53C35.

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References

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