Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Structural properties of LPV to LFR transformation: minimality,
  input-output behavior and identifiability   In this paper, we introduce and study important properties of the
transformation of Affine Linear Parameter-Varying (ALPV) state-space
representations into Linear Fractional Representations (LFR). More precisely,
we show that $(i)$ state minimal ALPV representations yield minimal LFRs, and
vice versa, $(ii)$ the input-output behavior of the ALPV represention
determines uniquely the input-output behavior of the resulting LFR, $(iii)$
structurally identifiable ALPVs yield structurally identifiable LFRs, and vice
versa. We then characterize LFR models which correspond to equivalent ALPV
models based on their input-output maps. As illustrated all along the paper,
these results have important consequences for identification and control of
systems described by LFRs.

23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
2
The categories of this paper are: math
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin