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Communication Dans Un Congrès Année : 2013

Null controllability of the 2D heat equation using flatness

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Philippe Martin
Lionel Rosier
Pierre Rouchon

Résumé

We derive in a direct and rather straightforward way the null controllability of a 2-D heat equation with boundary control. We use the so-called flatness approach, which consists in parameterizing the solution and the control by the derivatives of a "flat output". This provides an explicit control law achieving the exact steering to zero. Numerical experiments demonstrate the relevance of the approach.

Dates et versions

hal-00971484 , version 1 (02-04-2014)

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Philippe Martin, Lionel Rosier, Pierre Rouchon. Null controllability of the 2D heat equation using flatness. Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on, Dec 2013, Firenze, Italy. pp.3738 - 3743, ⟨10.1109/CDC.2013.6760459⟩. ⟨hal-00971484⟩
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