Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sampled-Data Observers for 1-D Parabolic PDEs with Non-Local Outputs   The present work provides a systematic approach for the design of
sampled-data observers to a wide class of 1-D, parabolic PDEs with non-local
outputs. The studied class of parabolic PDEs allows the presence of globally
Lipschitz nonlinear and non-local terms in the PDE. Two different sampled-data
observers are presented: one with an inter-sample predictor for the unavailable
continuous measurement signal and one without an inter-sample predictor.
Explicit conditions on the upper diameter of the (uncertain) sampling schedule
for both designs are derived for exponential convergence of the observer error
to zero in the absence of measurement noise and modeling errors. Moreover,
explicit estimates of the convergence rate can be deduced based on the
knowledge of the upper diameter of the sampling schedule. When measurement
noise and/or modeling errors are present, Input-to-Output Stability (IOS)
estimates of the observer error hold for both designs with respect to noise and
modeling errors. The main results are illustrated by two examples which show
how the proposed methodology can be extended to other cases (e.g., boundary
point measurements).

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The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
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The categories of this paper are: bayes-an
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: q-fin
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The categories of this paper are: mtrl-th
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The categories of this paper are: econ