| 引用本文: | 崔瑶,程培,蔡婷.具有时滞脉冲的线性随机时滞系统的均方指数稳定[J].控制理论与应用,2022,39(1):83~90.[点击复制] |
| CUI Yao,CHENG Pei,CAI Ting.Mean square exponential stability of linear stochastic delay systems with delayed impulses[J].Control Theory and Technology,2022,39(1):83~90.[点击复制] |
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| 具有时滞脉冲的线性随机时滞系统的均方指数稳定 |
| Mean square exponential stability of linear stochastic delay systems with delayed impulses |
| 摘要点击 1602 全文点击 489 投稿时间：2021-01-09 修订日期：2021-04-16 |
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| DOI编号 10.7641/CTA.2021.10031 |
| 2022,39(1):83-90 |
| 中文关键词 随机时滞系统 滞后脉冲 Lyapunov函数 Razumikhin技巧 均方指数稳定 |
| 英文关键词 stochastic delay systems delayed impulses Lyapunov function Razumikhin technique mean square exponential stability |
| 基金项目 国家自然科学基金项目(11771001), 安徽省高校自然科学研究重点项目(KJ2020A0121)资助. |
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| 中文摘要 |
| 本文研究了具有时滞脉冲的线性随机时滞系统的稳定性问题, 基于Lyapunov函数和Razumikhin技巧, 针对
具有镇定型脉冲和反镇定型脉冲的线性随机时滞系统分别建立了系统均方指数稳定的充分条件, 最后给出两个数
值例子论证结果的有效性. |
| 英文摘要 |
| This paper investigates the stability of linear stochastic systems with delayed impulses. Based on the Lyapunov
function and Razumikhin technique, some sufficient conditions for the mean square exponential stability of linear
stochastic delay systems with stabilizing impulses or destabilizing impulses are established respectively. Finally, two numerical
examples are given to demonstrate the effectiveness of the results. |