Stabilization of KdV equation with boundary time-delay feedback and input saturation

Abstract In this paper, we study the question of stabilization of nonlinear Korteweg-de Vries equation with boundary time-delay feedback in presence of saturated source term. Thanks to Banach fixed-point theorem the well-posedness is proved. The exponential stability result is demonstrated, using an appropriate Lyapunov functional.

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Publication Details

Journal
Control and Cybernetics
Published
2024-09-01
DOI
https://doi.org/10.2478/candc-2024-0018
Primary Topic
Advanced Mathematical Physics Problems
Type
article
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Stabilization of KdV equation with boundary time-delay feedback and input saturation

Ahmat Mahamat Taboye, Toufik Ennouari
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Control and Cybernetics
Advanced Mathematical Physics Problems
article

Stabilization of KdV equation with boundary time-delay feedback and input saturation

Ahmat Mahamat Taboye, Toufik Ennouari
article en

Abstract

Abstract In this paper, we study the question of stabilization of nonlinear Korteweg-de Vries equation with boundary time-delay feedback in presence of saturated source term. Thanks to Banach fixed-point theorem the well-posedness is proved. The exponential stability result is demonstrated, using an appropriate Lyapunov functional.

Control and CyberneticsVol. 53(3)
Chouaib Doukkali University (MA)
Openalex Percentile: Top 57%
Advanced Mathematical Physics Problems
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Stabilization of KdV equation with boundary time-delay feedback and input saturation — Ahmat Mahamat Taboye, Toufik Ennouari · Control and Cybernetics (2024) | TGRS Research Map | TGRS