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H 1 Linear transformations for the stabilization of nonlinear partial differential equations

Auteurs : Coron, Jean-Michel (Auteur de la Conférence)
CIRM (Editeur )

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    Résumé : We start by presenting some results on the stabilization, rapid or in finite time, of control systems modeled by means of ordinary differential equations. We study the interest and the limitation of the damping method for the stabilization of control systems. We then describe methods to transform a given linear control system into new ones for which the rapid stabilization is easy to get. As an application of these methods we show how to get rapid stabilization for Korteweg-de Vries equations and how to stabilize in finite time $1-D$ parabolic linear equations by means of periodic time-varying feedback laws.

    Codes MSC :
    35B35 - Stability of solutions of PDE
    35K05 - Heat equation
    35Q53 - KdV-like (Korteweg-de Vries) equations
    93B05 - Controllability
    93B17 - Transformation
    93B52 - Feedback control
    93C10 - Nonlinear systems
    93C20 - Systems governed by partial differential equations

      Informations sur la Vidéo

      Langue : Anglais
      Date de publication : 15/12/15
      Date de captation : 12/11/15
      Collection : Research talks ; Control Theory and Optimization ; Partial Differential Equations
      Format : MP4
      Durée : 00:48:37
      Domaine : PDE ; Control Theory & Optimization
      Audience : Chercheurs ; Doctorants , Post - Doctorants
      Download : https://videos.cirm-math.fr/2015-11-12_Coron.mp4

    Informations sur la rencontre

    Nom de la rencontre : Controllability of partial differential equations and applications / Contrôle des EDP et applications
    Organisateurs de la rencontre : Dermenjian, Yves ; Cristofol, Michel ; Gaitan, Patricia ; Le Rousseau, Jérôme ; Yamamoto, Masahiro
    Dates : 09/11/15 - 13/11/15
    Année de la rencontre : 2015
    URL Congrès : http://conferences.cirm-math.fr/1368.html

    Citation Data

    DOI : 10.24350/CIRM.V.18893003
    Cite this video as: Coron, Jean-Michel (2015). Linear transformations for the stabilization of nonlinear partial differential equations. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18893003
    URI : http://dx.doi.org/10.24350/CIRM.V.18893003


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