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RAZUMIKHIN-TYPE THEOREMS FOR ASYMPTOTIC STABILITY OF IMPULSIVE STOCHASTIC FUNCTIONAL DIFFERENTIAL SYSTEMS 被引量：8

RAZUMIKHIN-TYPE THEOREMS FOR ASYMPTOTIC STABILITY OF IMPULSIVE STOCHASTIC FUNCTIONAL DIFFERENTIAL SYSTEMS
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摘要 In this paper, we investigate the pth moment uniformly asymptotic stability of impulsive stochastic ftmctional differential systems by extending some Razumikhin-type theorems. Based on the Lyapunov functions and Razumikhin techniques, some criteria are established and their applications to impulsive stochastic delay systems are proposed. An illustrative example shows the effectiveness of our results. In this paper, we investigate the pth moment uniformly asymptotic stability of impulsive stochastic ftmctional differential systems by extending some Razumikhin-type theorems. Based on the Lyapunov functions and Razumikhin techniques, some criteria are established and their applications to impulsive stochastic delay systems are proposed. An illustrative example shows the effectiveness of our results.
作者 Pei CHENG~1 Feiqi DENG~2 Xisheng DAI~3 Systems Engineering Institute,South China University of Technology,Guangzhou 510640,China
出处 《Journal of Systems Science and Systems Engineering》 SCIE EI CSCD 2010年第1期72-84,共13页 系统科学与系统工程学报（英文版）
基金 supported by the National Natural Science Foundation of China(60874114)
关键词 Stochastic functional differential systems IMPULSE Razumiltial theorems Asymptotic stability Stochastic functional differential systems, Impulse, Razumiltial theorems, Asymptotic stability
分类号 O211.63 [理学—概率论与数理统计] N945.17 [自然科学总论—系统科学]
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参考文献26

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同被引文献21

  • 1XU Wei,NIU YuJun,RONG HaiWu,SUN ZhongKui.p-moment stability of stochastic impulsive differential equations and its application in impulsive control[J].Science China(Technological Sciences),2009,52(3):782-786. 被引量：7
  • 2Guangdeng ZONG,Yuqiang WU,Baoyong ZHANG,Yangyang KONG.Robust exponential stability of uncertain discretetime impulsive switching systems with state delay[J].控制理论与应用（英文版）,2007,5(4):351-356. 被引量：2
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  • 5Dibl J, Khusainov D. Ya, Grytsay I V, Smarda Z.Stability of nonlinear autonomous quadratic discrete systems in the critical case[J]. Discrete Dynamics in Nature and Society, 2010, 2010, Article ID 539087, 23 pages.
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引证文献8

二级引证文献10

Journal of Systems Science and Systems Engineering
2010年 第1期

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