Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Input-to-State Stability, integral Input-to-State Stability, and
  $\mathcal{L}_2$-Gain Properties: Qualitative Equivalences and Interconnected
  Systems   Input-to-state stability (ISS) and $\mathcal{L}_2$-gain are well-known robust
stability properties that continue to find wide application in the analysis and
control of nonlinear dynamical systems and their interconnections. We
investigate the relationship between ISS-type and $\mathcal{L}_2$-gain
properties, demonstrating several qualitative equivalences between these two
approaches. We subsequently present several new sufficient conditions for the
stability of interconnected systems derived by exploiting these qualitative
equivalences.

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The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph