Contrôle et stabilisation de systèmes élastiques couplés

Abstract : This thesis consists of two main parts. In the fi#rst part, it treats the indirect internal observability and exact controllability of a weakly coupled hyperbolic system and of the Timoshenko system. The second part is devoted to the study of problems concerning the direct stabilization of the Bresse system by non-linear feedbacks using multiplier method and integral inequality techniques, and its indirect stabilization only by two locally distributed feedbacks at the neighborhood of the boundary using the frequency domain method. Is treated in this part also the indirect stabilization of the Timoshenko system subject to a single feedback locally distributed at the neighborhood of the boundary
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Wael Youssef. Contrôle et stabilisation de systèmes élastiques couplés. Mathématiques générales [math.GM]. Université Paul Verlaine - Metz, 2009. Français. ⟨NNT : 2009METZ017S⟩. ⟨tel-01752635⟩

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