| 随机脉冲微分系统指数稳定性 |
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| 引用本文： | 吴述金.随机脉冲微分系统指数稳定性[J].数学物理学报(A辑),2005,25(6):789-798. |
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| 作者姓名： | 吴述金 |
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| 作者单位： | 华东师范大学统计系,上海200062 |
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| 基金项目： | 国家自然科学基金（10371074）部分资助 |
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| 摘 要： | 该文首先给出了具有随机脉冲时刻影响的非线性微分系统 模型，然后得到了该模型零解的p阶矩指数稳定和几乎必然指数稳定的充分条件，在所得结果中不要求dV(t,x(t)) /dt定负．最后，给出一个例子说明所得结果的应用．
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| 关 键 词： | 随机脉冲微分系统 p阶矩指数稳定 几乎必然指数稳定 Liapunov函数 |
| 文章编号： | 1003-3998(2005)06-789-10 |
| 收稿时间： | 2004-01-28 |
| 修稿时间： | 2004年1月28日 |
Exponential Stability of Differential Systems with Impulsive Effect on Random Moments |
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| TUN Shu-Jin.Exponential Stability of Differential Systems with Impulsive Effect on Random Moments[J].Acta Mathematica Scientia,2005,25(6):789-798. |
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| Authors: | TUN Shu-Jin |
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| Institution: | Department of Statistics, East China Normal University, Shanghai 200062 |
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| Abstract: | The model of nonlinear differential systems with impulsive effect on random moments is brought forward by author in this paper. Then, some sufficient conditions for p-moment exponential stability and almost surely exponential stability of the trivial solution to the systems are presented, in which $dV(t,x(t))dt$ isn't required to be negative definite. Finally, an example is illustrated to show the application of the obtained results. |
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| Keywords: | Impulsive differential systems p-moment exponential stability Almost sure exponential stability Liapunov function |
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