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Null-controllability of some systems of parabolic type by one control force

Published online by Cambridge University Press:  15 July 2005

Farid Ammar Khodja
Affiliation:
Université de Franche-Comté  Département de Mathématiques  CNRS-UMR 6623  16 Route de Gray, 25030 Besançon Cedex, France; ammar@math.univ-fcomte.fr; dupaix@math.univ-fcomte.fr
Assia Benabdallah
Affiliation:
Université de Provence, CMI - LATP Technopôle Château-Gombert, 39 rue F. Joliot Curie, 13453 Marseille Cedex 13, France; assia@cmi.univ-mrs.fr
Cédric Dupaix
Affiliation:
Université de Franche-Comté  Département de Mathématiques  CNRS-UMR 6623  16 Route de Gray, 25030 Besançon Cedex, France; ammar@math.univ-fcomte.fr; dupaix@math.univ-fcomte.fr
Ilya Kostin
Affiliation:
Université de Saint-Etienne, Équipe d'Analyse Numérique, 23 rue Paul MICHELON, 42023 Saint-Etienne Cedex 02, France; kostin@free.fr
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Abstract

We study the null controllability by one control force of some linear systems of parabolic type. We give sufficient conditions for the null controllability property to be true and, in an abstract setting, we prove that it is not always possible to control.

Type
Research Article
Copyright
© EDP Sciences, SMAI, 2005

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References

Ammar-Khodja, F., Benabdallah, A., Dupaix, C. and Kostine, I., Controllability to the trajectories of phase-field models by one control force. SIAM J. Control. Opt. 42 (2003) 16611680. CrossRef
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