Asymptotical boundedness and moment exponential stability for stochastic neutral differential equations with time-variable delay and markovian switching

Asymptotical boundedness and moment exponential stability for stochastic neutral differential equations with time-variable delay and markovian switching
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DOI:
10.1016/j.aml.2017.03.003
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发表时间:
2017-08
期刊:
Appl. Math. Lett.
影响因子:
--
通讯作者:
Ying Xie;Chengjian Zhang
Ying Xie;Chengjian Zhang
中科院分区:
其他
文献类型:
--
作者:
Ying Xie;Chengjian Zhang

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研究具有时变时滞和马尔可夫切换的非线性随机中立型微分方程(SNDEs)。导出了方程组的渐近有界性和矩指数稳定性的若干判据。给出了一个例子来说明这些准则。
This paper deals with nonlinear stochastic neutral differential equations (SNDEs) with time-variable delay and markovian switching. Several criteria for asymptotical boundedness and moment exponential stability of the equations are derived. An example is given to illustrate the criteria.