On the finite-time stabilization of some
                    hyperbolic control systems by boundary feedback
                    laws: Lyapunov approach

Jammazi, Chaker; Belgacem, Ghada Ben

doi:10.1090/conm/757/15244

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2020

2024

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Cited by 4 publications

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“…In Jammazi et al, 22 the problem of finite‐time stabilization of some hyperbolic partial differential equations is solved by using the so‐called persistently exciting boundary condition. As application, we have proved that waves produced by the motion of strings connected by point mass disappear in finite‐time.…”

Section: Introductionmentioning

confidence: 99%

Some results on the internal finite‐time stabilization of vibrating strings with interior mass

Belgacem

Jammazi

2020

Math Methods in App Sciences

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In this paper, the problem of internal finite-time stabilization for 1-D coupled wave equations with interior point mass is handled. The nonlinear stabilizing feedback law leads, in closed-loop, to nonlinear evolution equations where Kato theory is used to prove the well-posedness. In addition, it is showed that in some cases, the solution of this hybrid system is constant in finite-time if we use Neumann boundary conditions. This result can be improved (in complete finite-time stability sense) if we change the above feedback.

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Section: Introductionmentioning

confidence: 99%