Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimal State Estimation Synthesis over Unreliable Network in Presence
  of Denial-of-Service Attack: an Operator Framework Approach   In this paper, we consider the problem of state-estimation in the presence of
Denial-of-Service (DoS) attack. We formulate this problem as an state
estimation problem for a plant with switching measured outputs. In the absence
of attack, the state-estimator has access to all measured outputs, however, in
the presence of attack, only a subset of all measurements are made available to
the state-estimator. We seek to find an state-estimator that results in the
minimum estimation error for the worst-case attack strategy. First, we
parameterize the set of all state-estimators that result in stable estimation
error for the worst-case attack scenario. Then, we will show that any
state-estimator in this set can be written as a generalized Luenberger observer
with an appropriately defined observer-gain. This observer-gain, in general,
can be an operator and possibly unbounded as opposed to the classical static
observer-gain. Furthermore, we will show that finding the optimal
state-estimator that results in the minimum estimation error can be cast as a
convex program over the set of stable factors of the observer operator-gain.
This optimization in, in fact, linear programming and tractable.

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The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
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The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-th