| 连续变量型随机脉冲差分方程零解的均方指数稳定性 |
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| 引用本文： | 刘德志,杨桂元,鲍建海,张伟.连续变量型随机脉冲差分方程零解的均方指数稳定性[J].阜阳师范学院学报(自然科学版),2008,25(1):24-27. |
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| 作者姓名： | 刘德志 杨桂元 鲍建海 张伟 |
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| 作者单位： | 1. 安徽财经大学,统计与应用数学学院,安徽,蚌埠,233030
2. 广西工学院,信息与计算科学系,广西,柳州,545000 |
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| 基金项目： | 安徽省教育厅自然科学基金 |
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| 摘 要： | 研究了连续变量型随机脉冲差分方程的均方指数稳定性,可以弥补此问题的空白.在研究过程中不仅脱离了一般的方法,例如Lyapunov方法、It^o公式等等,而且还引用了一个重要的差分不等式来获取好的结果.同样,所得结果也适用于没有脉冲的情况.
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| 关 键 词： | 均方指数稳定 脉冲 随机 连续变量 差分方程 |
| 文章编号： | 1004-4329(2008)01-0024-03 |
| 修稿时间： | 2008年1月13日 |
Exponential Stability in Mean Square of Impulsive Stochastic Difference Equations with Continuous Time |
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| LIU De-zhi,YANG Gui-yuan,BAO Jian-hai,ZHANG Wei.Exponential Stability in Mean Square of Impulsive Stochastic Difference Equations with Continuous Time[J].Journal of Fuyang Teachers College:Natural Science,2008,25(1):24-27. |
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| Authors: | LIU De-zhi YANG Gui-yuan BAO Jian-hai ZHANG Wei |
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| Institution: | LIU De-zhi1,YANG Gui-yuan1,BAO Jian-hai2,ZHANG Wei1(1.School of Statistics , Applied Mathematics,Anhui University of Finance , Economics,Bengbu,Anhui 233030,China,2.Department of Information , Compute Science,Guangxi University of Technology,Liuzhou,Guangxi 545000,China) |
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| Abstract: | So far there are few results on the exponential stability in mean square for impulsive stochastic difference equations with continuous time.The main aim of this paper is to close this gap.Dissimilarly,we don't make use of the general methods such as Lyapunov methods,Ito formula and so forth.However,we obtain the desired result by establishing a difference inequality with continuous time.Moreover,the obtained result can be applied to stochastic difference equations,without impulsive effects,with continuous t... |
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| Keywords: | exponential stability in mean square impulsive stochastic equation continuous time difference inequality |
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