Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Goh conditions for minima of nonsmooth problems with unbounded controls   Higher order necessary conditions for a minimizer of an optimal control
problem are generally obtained for systems whose dynamics is continuously
differentiable in the state variable. Here, by making use of the notion of
set-valued Lie bracket we obtain a Goh-type condition for a control affine
system with Lipschitz continuous dynamics and unbounded controls. In order to
manage the simultaneous lack of smoothness of the adjoint equation and of the
Lie bracket-like variations we make use of the notion of Quasi Differential
Quotient. We conclude the paper with a worked out example where the established
higher order condition is capable to rule out the optimality of a control
verifying the standard maximum principle.

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The categories of this paper are: patt-sol
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The categories of this paper are: alg-geom
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The categories of this paper are: econ
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The categories of this paper are: q-bio
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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: funct-an
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The categories of this paper are: q-fin
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The categories of this paper are: acc-phys
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ph
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The categories of this paper are: nlin
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The categories of this paper are: mtrl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: gr-qc
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The categories of this paper are: atom-ph