Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: State Feedback Stabilization of the Linearized Bilayer Saint-Venant
  Model   We consider the problem of stabilizing the bilayer \textit{Saint-Venant}
model, which is a coupled system of two rightward and two leftward convecting
transport partial differential equations (PDEs). In the stability proofs, we
employ a Lyapunov function in which the parameters need to be successively
determined. To the best of the authors' knowledge, this is the first time this
kind of Lyapunov function is employed, and this result is the first one on the
stabilization of the linearized bilayer \textit{Saint-Venant} model. Numerical
simulations of the bilayer \textit{Saint-Venant} problem are also provided to
verify the result.

10
The categories of this paper are: q-bio
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The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
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The categories of this paper are: econ
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The categories of this paper are: nucl-th
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
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The categories of this paper are: supr-con
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The categories of this paper are: funct-an
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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: math-ph
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The categories of this paper are: nlin