Null Controllability of the 2D Heat Equation Using Flatness

2013/04/19 by Philippe Martin, Martin, Philippe, Lionel Rosier +3 · 1 citation
Mathematics · #FOS: Mathematics #Optimization and Control (math.OC) #math.OC

paper · pdf · doi:10.48550/arxiv.1304.5426

arXiv admin note: substantial text overlap with arXiv:1303.2344

arxiv created 2013/04/19 · arxiv updated 2013/04/22

Abstract

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.

Citations

• Null controllability of the 1D heat equation using flatness

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