Note on the stabilization of a vibrating string via a switching time-delay boundary control: a theoretical and numerical study

• Kaïs Ammari ^[1] ; Boumediène Chentouf ^[2] ; Nejib Smaoui ^[2]
  1. [1] University of Monastir

     University of Monastir

     Túnez

     
  2. [2] Kuwait University

     Kuwait University

     Kuwait

     
• Localización: SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, ISSN-e 2254-3902, ISSN 2254-3902, Vol. 80, Nº. 4, 2023, págs. 647-662
• Idioma: inglés
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• Resumen

  • This paper treats the stabilization of a vibrating string by means of a switching time-delay boundary control. We show that the problem possesses a unique solution by means of semigroups theory of linear operators. Then, we provide a theoretical and numerical study of the exponential stability of the system under an appropriate delay coefficient.