Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: State space realization of even generalized positive and odd rational
  function. Applications to static output feedback   We here specialize the well known Positive Real Lemma (also known as the
Kalman-Yakubovich-Popov Lemma) to complex matrix-valued rational functions, (i)
generalized positive even and (ii) odd. On the way we characterize the (non)
minimality of realization of arbitrary systems through (i) the corresponding
state matrix and (ii) moving the poles by applying static output feedback. We
then explore the application of static output feedback to both generalized
positive even and to odd functions.

21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int