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Pré-Publication, Document De Travail Année : 2024

Midpoint prescribed stabilization of the wave equation via autoregressive control

Résumé

In this paper, we consider the stabilization problem of the wave equation with pointwise delay feedback. We propose a control methodology having the advantage of the assignation of the closed-loop exponential decay. The methodology involves a four-parameter autoregressive control structure for which the design strategy is based on multiplicity manifolds. The proof of the main result is based on spectral analysis, thereby conveying a positive outlook on the control of further classes of partial differential equations.
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Dates et versions

hal-04547008 , version 1 (15-04-2024)

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  • HAL Id : hal-04547008 , version 1

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Kaïs Ammari, Islam Boussaada, Sami Tliba, Silviu-Iulian Niculescu. Midpoint prescribed stabilization of the wave equation via autoregressive control. 2024. ⟨hal-04547008⟩
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