Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Predictor-Based Output Feedback Stabilization of an Input Delayed
  Parabolic PDE with Boundary Measurement   This paper is concerned with the output feedback boundary stabilization of
general 1-D reaction diffusion PDEs in the presence of an arbitrarily large
input delay. We consider the cases of Dirichlet/Neumann/Robin boundary
conditions for the both boundary control and boundary condition. The boundary
measurement takes the form of a either Dirichlet or Neumann trace. The adopted
control strategy is composed of a finite-dimensional observer estimating the
first modes of the PDE coupled with a predictor to compensate the input delay.
In this context, we show for any arbitrary value of the input delay that the
control strategy achieves the exponential stabilization of the closed-loop
system, for system trajectories evaluated in $H^1$ norm (also in $L^2$ norm in
the case of a Dirichlet boundary measurement), provided the dimension of the
observer is selected large enough. The reported proof of this result requires
to perform both control design and stability analysis using simultaneously the
(non-homogeneous) original version of the PDE and one of its equivalent
homogeneous representations.

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The categories of this paper are: econ
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
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The categories of this paper are: supr-con
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The categories of this paper are: solv-int
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The categories of this paper are: chem-ph
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The categories of this paper are: math-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: patt-sol