| 随机泛函微分系统的脉冲镇定 |
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| 引用本文： | 姚凤麒,邓飞其,彭云建.随机泛函微分系统的脉冲镇定[J].华南理工大学学报(自然科学版),2010,38(9). |
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| 作者姓名： | 姚凤麒 邓飞其 彭云建 |
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| 作者单位： | 华南理工大学,自动化科学与工程学院,广东,广州,510640 |
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| 基金项目： | 国家自然科学基金资助项目，中国博士后科学基金资助项目 |
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| 摘 要： | 针对一般的随机泛函微分系统,提出了可脉冲均方一致渐近镇定和可周期性脉冲均方一致渐近镇定的定义.利用Lyapunov函数和一个一维线性脉冲时滞系统的渐近稳定性条件,得到了随机泛函微分系统可周期性脉冲均方一致渐近镇定的充分判据,并给出了脉冲控制律的具体设计方法.脉冲控制函数为正比例函数,脉冲发生间隔则依赖于系统本身的参数和选取的脉冲控制函数的比例系数.数值例子表明所设计的脉冲控制器是有效的.
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| 关 键 词： | 随机泛函微分系统 脉冲镇定 周期性脉冲镇定 均方一致渐近镇定 |
| 收稿时间： | 2010-2-4 |
| 修稿时间： | 2010-4-25 |
Impulsive Stabilization of Stochastic Functional Differential Systems |
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| Yao Feng-qi,Deng Fei-qi,Peng Yun-jian.Impulsive Stabilization of Stochastic Functional Differential Systems[J].Journal of South China University of Technology(Natural Science Edition),2010,38(9). |
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| Authors: | Yao Feng-qi Deng Fei-qi Peng Yun-jian |
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| Abstract: | For general stochastic functional differential systems, concepts of mean-square uniformly asymptotical stabilization by impulses and by periodical impulses are proposed. Criteria on mean-square uniformly asymptotical stabilization of stochastic functional differential systems by periodical impulses are obtained by using Lyapunov functions and the asymptotical stability of a scalar linear impulsive delay differential system. Moreover, the specific design method of impulsive controllers is presented. A numerical example is also provided to illustrate the effectiveness of the controllers. |
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| Keywords: | Stochastic functional differential systems Impulsive stabilization stabilization by periodical impulses Mean-square uniformly asymptotical stabilization |
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