Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Controllability of the 1D Schr\"odinger equation using flatness   We derive in a direct way the exact controllability of the 1D free
Schr\"odinger equation with Dirichlet boundary control. We use the so-called
flatness approach, which consists in parametrizing the solution and the control
by the derivatives of a "flat output". This provides an explicit and very
regular control achieving the exact controllability in the energy space.

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The categories of this paper are: dg-ga
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The categories of this paper are: funct-an
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The categories of this paper are: supr-con
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The categories of this paper are: q-alg
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The categories of this paper are: plasm-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: adap-org
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The categories of this paper are: cs
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The categories of this paper are: hep-lat
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The categories of this paper are: acc-phys
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-th
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The categories of this paper are: math-ph
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The categories of this paper are: solv-int
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The categories of this paper are: astro-ph
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The categories of this paper are: alg-geom