Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Standard versus Bounded Real Lemma with infinite-dimensional state space
  II: The storage function approach   For discrete-time causal linear input/state/output systems, the Bounded Real
Lemma explains (under suitable hypotheses) the contractivity of the values of
the transfer function over the unit disk for such a system in terms of the
existence of a positive-definite solution of a certain Linear Matrix Inequality
(the Kalman-Yakubovich-Popov (KYP) inequality). Recent work has extended this
result to the setting of infinite-dimensional state space and associated
non-rationality of the transfer function, where at least in some cases
unbounded solutions of the generalized KYP-inequality are required. This paper
is the second installment in a series of papers on the Bounded Real Lemma and
the KYP inequality. We adapt Willems' storage-function approach to the
infinite-dimensional linear setting, and in this way reprove various results
presented in the first installment, where they were obtained as applications of
infinite-dimensional State-Space-Similarity theorems, rather than via explicit
computation of storage functions.

10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
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The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
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The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
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The categories of this paper are: eess
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The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
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The categories of this paper are: hep-th
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The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex