Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Informativity conditions for data-driven control based on input-state
  data and polyhedral cross-covariance noise bounds   Modeling and control of dynamical systems rely on measured data, which
contains information about the system. Finite data measurements typically lead
to a set of system models that are unfalsified, i.e., that explain the data.
The problem of data-informativity for stabilization or control with quadratic
performance is concerned with the existence of a controller that stabilizes all
unfalsified systems or achieves a desired quadratic performance. Recent results
in the literature provide informativity conditions for control based on
input-state data and ellipsoidal noise bounds, such as energy or magnitude
bounds. In this paper, we consider informativity of input-state data for
control where noise bounds are defined through the cross-covariance of the
noise with respect to an instrumental variable; bounds that were introduced
originally as a noise characterization in parameter bounding identification.
The considered cross-covariance bounds are defined by a finite number of
hyperplanes, which induce a (possibly unbounded) polyhedral set of unfalsified
systems. We provide informativity conditions for input-state data with
polyhedral cross-covariance bounds for stabilization and
$\mathcal{H}_2$/$\mathcal{H}_\infty$ control through vertex/half-space
representations of the polyhedral set of unfalsified systems.

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The categories of this paper are: q-bio
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: econ
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The categories of this paper are: stat
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The categories of this paper are: atom-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
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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: patt-sol
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The categories of this paper are: physics
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The categories of this paper are: hep-th
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The categories of this paper are: mtrl-th