Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Almost Sure and Moment Exponential Stability of Regime-Switching Jump
  Diffusions   This work is devoted to almost sure and moment exponential stability of
regime-switching jump diffusions. The Lyapunov function method is used to
derive sufficient conditions for stabilities for general nonlinear systems;
which further helps to derive easily verifiable conditions for linear systems.
For one-dimensional linear regime-switching jump diffusions, necessary and
sufficient conditions for almost sure and $p$th moment exponential stabilities
are presented. Several examples are provided for illustration.

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The categories of this paper are: hep-th
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: adap-org
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The categories of this paper are: comp-gas
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The categories of this paper are: patt-sol
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The categories of this paper are: stat
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The categories of this paper are: dg-ga
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The categories of this paper are: eess
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The categories of this paper are: q-fin
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The categories of this paper are: nlin
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The categories of this paper are: math-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-alg