Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fundamental Lemma for Data-Driven Analysis of Linear Parameter-Varying
  Systems   Based on the Fundamental Lemma by Willems et al., the entire behaviour of a
Linear Time-Invariant (LTI) system can be characterised by a single data
sequence of the system as long the input is persistently exciting. This is an
essential result for data-driven analysis and control. In this work, we aim to
generalise this LTI result to Linear Parameter-Varying (LPV) systems. Based on
the behavioural framework for LPV systems, we prove that one can obtain a
result similar to Willems'. Based on an LPV representation, i.e., embedding, of
nonlinear systems, this allows the application of the Fundamental Lemma for
systems beyond the linear class.

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The categories of this paper are: mtrl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: gr-qc
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The categories of this paper are: supr-con
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The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: nlin
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-th
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The categories of this paper are: q-bio
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The categories of this paper are: quant-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: chem-ph