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On the finite-time Bhat-Bernstein feedbacks for the strings connected by point mass

  • * Corresponding author: Ghada Ben Belgacem

    * Corresponding author: Ghada Ben Belgacem 
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  • In this article, the problem of finite-time stabilization of two strings connected by point mass is discussed. We use the so-called Riemann coordinates to convert the study system into four transport equations coupled with the dynamic of the charge. We act by Bhat-Bernstein feedbacks in various positions (two extremities, the point mass and one of boundaries, only on the point mass, ...) and we show that in some cases the nature of the stability depends sensitively on the physical parameters of the system.

    Mathematics Subject Classification: Primary: 35L05, 35L40; Secondary: 93C20, 93D15.


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  • Figure 1.  Vibrating strings attached with a point mass [34]

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