Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on the Li\'{e}nard-Chipart criterion and roots of some families
  of polynomials   We present some inequalities that provide different sufficient conditions for
an univariate monic polynomial to be Hurwitz unstable. These are motivated by
difficult control problems where direct application of the Li\'enard-Chipart
criterion is not feasible. Hurwitz stability of some polynomials of degree five
is also discussed. These results may be interpreted as stability results for
some interval polynomials.

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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: cond-mat
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-th
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The categories of this paper are: patt-sol
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The categories of this paper are: q-fin
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The categories of this paper are: econ
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The categories of this paper are: nucl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: solv-int
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The categories of this paper are: stat
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ex
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The categories of this paper are: chao-dyn