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  • 标题:Exponential stability of stochastic functional differential equations with Markovian switching and delayed impulses via Razumikhin method
  • 本地全文:下载
  • 作者:Lijun Pan ; Jinde Cao
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2012
  • 卷号:2012
  • 期号:1
  • 页码:61
  • DOI:10.1186/1687-1847-2012-61
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this article, by using Razumikhin-type technique, we investigate p th moment exponential stability of stochastic functional differential equations with Markovian switching and delayed impulses. Several stability theorems of impulsive hybrid stochastic functional differential equations are derived. It is assumed that the state variables on the impulses can relate to the finite delay. These new results are employed to a class of n-dimensional linear impulsive hybrid stochastic systems with bounded time-varying delay. Moreover, an effective M-matrix method is introduced to study the exponential stability of these hybrid systems. Meanwhile, some examples and simulations are given to show our results.
  • 关键词:Razumikhin theorem ; stochastic functional differential equations ; impulse ; M -matrix ; Markovian chain
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