On the controllability of a free-boundary problem for the 1D heat equation

This paper deals with the local null control of a free-boundary problem for the classical 1D heat equation with distributed controls, locally supported in space. In the main result we prove that, if the final time T is fixed and the initial state is sufficiently small, there exist controls that driv...

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Bibliographic Details
Published in:Systems & control letters 2016-01, Vol.87, p.29-35
Main Authors: Fernández-Cara, E., Limaco, J., de Menezes, S.B.
Format: Article
Language:English
Subjects:
1D heat equation
Carleman estimates
Free-boundary problems
Null controllability
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Summary:This paper deals with the local null control of a free-boundary problem for the classical 1D heat equation with distributed controls, locally supported in space. In the main result we prove that, if the final time T is fixed and the initial state is sufficiently small, there exist controls that drive the state exactly to rest at time t=T.
ISSN:0167-6911
1872-7956
DOI:10.1016/j.sysconle.2015.10.011