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• W2570676862 abstract "We derive in a direct and rather straightforward way the null controllability of the N-dimensional heat equation in a bounded cylinder with boundary control at one end of the cylinder. We use the so-called flatness approach, which consists in parameterizing the solution and the control by the derivatives of a “flat output”. This yields an explicit control law achieving the exact steering to zero. Replacing the involved series by partial sums we obtain a simple numerical scheme for which we give explicit error bounds. Numerical experiments demonstrate the relevance of the approach." @default.
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• W2570676862 date "2014-12-01" @default.
• W2570676862 modified "2023-10-17" @default.
• W2570676862 title "Null controllability of the heat equation using flatness" @default.
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• W2570676862 doi "https://doi.org/10.1016/j.automatica.2014.10.049" @default.
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