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Local exact controllability for Berger plate equation

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Abstract

We study the exact controllability of a nonlinear plate equation by the means of a control which acts on an internal region of the plate. The main result asserts that this system is locally exactly controllable if the associated linear Euler–Bernoulli system is exactly controllable. In particular, for rectangular domains, we obtain that the Berger system is locally exactly controllable in arbitrarily small time and for every open and nonempty control region.

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Authors and Affiliations

  1. Institut Élie Cartan, Nancy Université/CNRS/INRIA, BP70239, 54506, Vandoeuvre-lès-Nancy Cedex, France

    Nicolae Cîndea & Marius Tucsnak

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  1. Nicolae Cîndea
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  2. Marius Tucsnak
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Correspondence to Marius Tucsnak.

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Cîndea, N., Tucsnak, M. Local exact controllability for Berger plate equation. Math. Control Signals Syst. 21, 93–110 (2009). https://doi.org/10.1007/s00498-009-0042-7

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  • DOI: https://doi.org/10.1007/s00498-009-0042-7

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