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

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Résumé

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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Dates et versions

hal-01263652 , version 1 (28-01-2016)

Identifiants

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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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