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

Authors: Null controllability using flatness: a case study of a 1-D heat equation with discontinuous coefficients, 2015 European Control Conference (ECC 2015), pp. 55-60, July 15-17, 2015, Linz. DOI: 10.1109/ECC.2015.7330525
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 corresponding trajectory. Numerical experiments illustrate several features of the theory and demonstrate its effectiveness.
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BibTeX:
@Proceedings{2016-01-28,
author = {Philippe Martin, Lionel Rosier and Pierre Rouchon},
editor = {},
title = {Null controllability using flatness: a case study of a 1-D heat equation with discontinuous coefficients},
booktitle = {2015 European Control Conference (ECC 2015)},
volume = {},
publisher = {},
address = {Linz},
pages = {55-60},
year = {2015},
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.},
keywords = {}}