Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Vector Small-Gain Theorem for General Nonlinear Control Systems   A new Small-Gain Theorem is presented for general nonlinear control systems.
The novelty of this research work is that vector Lyapunov functions and
functionals are utilized to derive various input-to-output stability and
input-to-state stability results. It is shown that the proposed approach
recovers several recent results as special instances and is extendible to
several important classes of control systems such as large-scale complex
systems, nonlinear sampled-data systems and nonlinear time-delay systems. An
application to a biochemical circuit model illustrates the generality and power
of the proposed vector small-gain theorem.

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The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
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The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
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The categories of this paper are: eess
1
The categories of this paper are: cs
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The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn