Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Infinite-Dimensional Sums-of-Squares for Optimal Control   We introduce an approximation method to solve an optimal control problem via
the Lagrange dual of its weak formulation. It is based on a sum-of-squares
representation of the Hamiltonian, and extends a previous method from
polynomial optimization to the generic case of smooth problems. Such a
representation is infinite-dimensional and relies on a particular space of
functions-a reproducing kernel Hilbert space-chosen to fit the structure of the
control problem. After subsampling, it leads to a practical method that amounts
to solving a semi-definite program. We illustrate our approach by a numerical
application on a simple low-dimensional control problem.

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The categories of this paper are: comp-gas
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The categories of this paper are: atom-ph
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The categories of this paper are: eess
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The categories of this paper are: nlin
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-lat
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The categories of this paper are: econ
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The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph
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The categories of this paper are: hep-th
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The categories of this paper are: stat
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-th
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The categories of this paper are: funct-an