TY - JOUR
T1 - Note on the stabilization of a vibrating string via a switching time-delay boundary control
T2 - a theoretical and numerical study
AU - Ammari, Kaïs
AU - Chentouf, Boumediène
AU - Smaoui, Nejib
N1 - Publisher Copyright:
© 2022, The Author(s), under exclusive licence to Sociedad Española de Matemática Aplicada.
PY - 2022/10/23
Y1 - 2022/10/23
N2 - 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.
AB - 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.
KW - Exponential stability
KW - Numerical boundary stabilization with time-delay
KW - One-dimensional wave equation
KW - Switching time-delay
KW - Vibrating string
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UR - https://www.mendeley.com/catalogue/face62bc-162e-3cc0-8128-5b91987b3a6d/
U2 - 10.1007/s40324-022-00315-z
DO - 10.1007/s40324-022-00315-z
M3 - Article
AN - SCOPUS:85140395824
SN - 2254-3902
VL - 80
SP - 647
EP - 662
JO - SeMA Journal
JF - SeMA Journal
IS - 4
ER -