Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Standard versus Strict Bounded Real Lemma with infinite-dimensional
  state space I: The State-Space-Similarity Approach   The Bounded Real Lemma, i.e., the state-space linear matrix inequality
characterization (referred to as Kalman-Yakubovich-Popov or KYP inequality) of
when an input/state/output linear system satisfies a dissipation inequality,
has recently been studied for infinite-dimensional discrete-time systems in a
number of different settings: with or without stability assumptions, with or
without controllability/observability assumptions, with or without strict
inequalities. In these various settings, sometimes unbounded solutions of the
KYP inequality are required while in other instances bounded solutions suffice.
In a series of reports we show how these diverse results can be reconciled and
unified. This first instalment focusses on the state-space-similarity approach
to the bounded real lemma. We shall show how these results can be seen as
corollaries of a new State-Space-Similarity theorem for infinite-dimensional
linear systems.

35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio