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

Ahmat Mahamat Taboye

Ahmat Mahamat Taboye

Department of Mathematics, University Chouaib DoukkaliEl Jadidda, Morocco
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Taboye, Ahmat Mahamat
 and 
Toufik Ennouari

Toufik Ennouari

Department of Mathematics, University Chouaib DoukkaliEl Jadidda, Morocco
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Ennouari, Toufik
  
May 15, 2025
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Published Online: May 15, 2025
Page range: 409 - 428
Received: May 01, 2024
Accepted: Dec 01, 2024
DOI: https://doi.org/10.2478/candc-2024-0018
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© 2024 Ahmat Mahamat Taboye et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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.

Language:
English
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4 times per year
Journal Subjects:
Computer Sciences, Computer Sciences, other, Engineering, Electrical Engineering, Fundamentals of Electrical Engineering, Mechanical Engineering, Fundamentals of Mechanical Engineering, Mathematics, General Mathematics
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