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Pointwise controllability as limit of internal controllability for the one dimensional Euler–Bernoulli equation

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Abstract

This paper is devoted to prove the pointwise controllability of the Euler–Bernoulli beam equation. It is obtained as a limit of internal controllability of the same type of equation. Our approach is based on the techniques used in Fabre and Puel (Port Math 51:335–350, 1994).

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Authors and Affiliations

  1. UR Analysis and Control of PDE’s, UR 13ES64, Department of Mathematics, Faculty of Sciences of Monastir, University of Monastir, 5019, Monastir, Tunisia

    Akram Ben Aissa

  2. Laboratory of Analysis and Control of PDE, University of Djillali Liabés, 22000, Sidi Bel Abbés, Algeria

    Mama Abdelli

  3. University Mustapha Stamboli of Mascara, Mascara, Algeria

    Mama Abdelli

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  1. Akram Ben Aissa
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  2. Mama Abdelli
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Correspondence to Akram Ben Aissa.

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Ben Aissa, A., Abdelli, M. Pointwise controllability as limit of internal controllability for the one dimensional Euler–Bernoulli equation. Afr. Mat. 30, 1249–1266 (2019). https://doi.org/10.1007/s13370-019-00717-9

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  • DOI: https://doi.org/10.1007/s13370-019-00717-9

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