Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Improved Razumikhin and Krasovskii Stability Criteria for Time-Varying
  Stochastic Time-Delay Systems   The problem of p-th moment stability for time-varying stochastic time-delay
systems with Markovian switching is investigated in this paper. Some novel
stability criteria are obtained by applying the generalized Razumikhin and
Krasovskii stability theorems. Both p-th moment asymptotic stability and
(integral) input-to-state stability are considered based on the notion and
properties of uniformly stable functions and the improved comparison
principles. The established results show that time-derivatives of the
constructed Razumikhin functions and Krasovskii functionals are allowed to be
indefinite, which improve the existing results on this topic. By applying the
obtained results for stochastic systems, we also analyze briefly the stability
of time-varying deterministic time-delay systems. Finally, examples are
provided to illustrate the effectiveness of the proposed results.

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The categories of this paper are: q-alg
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The categories of this paper are: quant-ph
3
The categories of this paper are: physics
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-bio
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The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
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The categories of this paper are: supr-con
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The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys
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The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-th