Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Realization-Stability Lemma for Controller Synthesis   We have witnessed the emergence of several controller parameterizations and
the corresponding synthesis methods, including Youla, system level,
input-output, and many other new proposals. Meanwhile, under the same synthesis
method, there are multiple realizations to adopt. Different synthesis
methods/realizations target different plants/scenarios. Also, various robust
results are proposed to deal with different perturbed system structures. Except
for some case-by-case studies, we don't currently have a unified framework to
understand their relationships.
  To address the issue, we show that existing controller synthesis methods and
realization proposals are all special cases of a simple lemma, the
realization-stability lemma. The lemma leads to easier equivalence proofs among
existing methods and robust stability conditions for general system analysis.
It also enables the formulation of a general controller synthesis problem,
which provides a unified foundation for controller synthesis, realization
derivation, and robust stability analysis.

22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph