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

Kaïs Ammari*, Boumediène Chentouf, Nejib Smaoui

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)647-662
Number of pages16
JournalSeMA Journal
Issue number4
Publication statusPublished - Oct 23 2022
Externally publishedYes


  • Exponential stability
  • Numerical boundary stabilization with time-delay
  • One-dimensional wave equation
  • Switching time-delay
  • Vibrating string

ASJC Scopus subject areas

  • Numerical Analysis
  • Modelling and Simulation
  • Control and Optimization
  • Applied Mathematics

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