4.7 Article

Stability analysis for impulsive stochastic delay differential equations with Markovian switching

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PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jfranklin.2013.05.009

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资金

  1. National Nature Foundation of China [11271270, 61273021]
  2. Natural Science Foundation Project of CQ CSTC [2011jjA00012]

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We investigate an impulsive stochastic delay differential equation with Markovian switching. Based on a set of novel L-operator inequalities with finite modes and stochastic analysis techniques, some sufficient criteria ensuring the p-moment stability of the zero solution are obtained. Two examples are given to demonstrate the efficiency of proposed results. (C) 2013 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

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