Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New Global Exponential Stability Criteria for Nonlinear Delay
  Differential Systems with Applications to BAM Neural Networks   We consider a nonlinear non-autonomous system with time-varying delays $$
\dot{x_i}(t)=-a_i(t)x_{i}(h_i(t))+\sum_{j=1}^mF_{ij}(t,x_j(g_{ij}(t))) $$ which
has a large number of applications in the theory of artificial neural networks.
Via the M-matrix method, easily verifiable sufficient stability conditions for
the nonlinear system and its linear version are obtained. Application of the
main theorem requires just to check whether a matrix, which is explicitly
constructed by the system's parameters, is an $M$-matrix. Comparison with the
tests obtained by K. Gopalsamy (2007) and B. Liu (2013) for BAM neural networks
illustrates novelty of the stability theorems. Some open problems conclude the
paper.

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The categories of this paper are: nlin
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The categories of this paper are: bayes-an
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The categories of this paper are: q-alg
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The categories of this paper are: adap-org
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The categories of this paper are: stat
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The categories of this paper are: comp-gas
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The categories of this paper are: chao-dyn
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The categories of this paper are: astro-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-th
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The categories of this paper are: q-bio
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The categories of this paper are: eess
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The categories of this paper are: math-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ph