Null controllability using flatness: a case study of a 1-D heat equation with discontinuous coefficients

Philippe Martin 1 Lionel Rosier 1 Pierre Rouchon 1, 2
2 QUANTIC - QUANTum Information Circuits
ENS Paris - École normale supérieure - Paris, Inria Paris-Rocquencourt, UPMC - Université Pierre et Marie Curie - Paris 6, MINES ParisTech - École nationale supérieure des mines de Paris, CNRS - Centre National de la Recherche Scientifique : UMR8551
Abstract : The approach recently proposed by the authors for the null controllability of 1-D parabolic equations is applied to the nontrivial case of a heat equation with discontinuous coefficients and subjected to Robin boundary conditions. The control steering the system to zero from a discontinuous initial state is comprehensively derived, together with the correspond- ing trajectory. Numerical experiments illustrate several features of the theory and demonstrate its effectiveness.
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https://hal-mines-paristech.archives-ouvertes.fr/hal-01263652
Contributeur : François Chaplais <>
Soumis le : jeudi 28 janvier 2016 - 08:50:22
Dernière modification le : mardi 14 mai 2019 - 10:15:57

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Philippe Martin, Lionel Rosier, Pierre Rouchon. Null controllability using flatness: a case study of a 1-D heat equation with discontinuous coefficients. 2015 European Control Conference (ECC 2015), Jul 2015, Linz, Austria. pp.55-60, ⟨10.1109/ECC.2015.7330525⟩. ⟨hal-01263652⟩

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