| 引用本文: | 谢本旺,姚凤麒,程培.带有时滞脉冲的非线性随机系统的稳定性分析[J].控制理论与应用,2025,42(3):563~568.[点击复制] |
| XIE Ben-wang,YAO Feng-qi,CHENG Pei.Stability analysis of nonlinear stochastic systems with delayed impulses[J].Control Theory and Technology,2025,42(3):563~568.[点击复制] |
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| 带有时滞脉冲的非线性随机系统的稳定性分析 |
| Stability analysis of nonlinear stochastic systems with delayed impulses |
| 摘要点击 26 全文点击 1 投稿时间：2023-04-05 修订日期：2024-09-02 |
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| DOI编号 10.7641/CTA.2023.30190 |
| 2025,42(3):563-568 |
| 中文关键词 时滞脉冲 平均脉冲区间 p阶矩指数稳定 几乎指数稳定 |
| 英文关键词 delayed impulse average impulsive interval p th moment exponential stability almost 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基金重点项目(2022AH050108)资助. |
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| 中文摘要 |
| 本文研究带有时滞脉冲效应的非线性随机微分系统的p阶矩指数稳定性和几乎指数稳定性问题.基于脉冲控制理论和平均脉冲间隔的思想,利用伊藤公式,得到了系统基于Lyapunov理论的p阶矩指数稳定和几乎指数稳定的充分条件.结果表明,时滞脉冲的存在除了破环系统的稳定性外,还可以用来镇定不稳定的连续系统.最后,通过数值例子说明了理论结果的有效性. |
| 英文摘要 |
| In this paper, the p th moment exponential stability and almost exponential stability of nonlinear stochastic differential system with delayed impulsive effect are studied. On the foundation of the impulsive control theory and the idea of average impulsive interval, using the It?o formula, some sufficient conditions for the p th exponential stability and the almost exponential stability based on the Lyapunov theory are obtained. The results show that the existence of impulsive delay can not only destroy the stability of the system, but also be used to stabilize the unstable continuous dynamics. Finally, some numerical simulations are presented to illustrate our proposed results. |