| 引用本文: | 王国庆,姚凤麒.具有有界时滞的脉冲随机泛函微分系统的有限时间稳定[J].控制理论与应用,2023,40(9):1569~1575.[点击复制] |
| WANG Guo-qing,YAO Feng-qi.Finite-time stability of impulsive stochastic functional differential systems with bounded delays[J].Control Theory and Technology,2023,40(9):1569~1575.[点击复制] |
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| 具有有界时滞的脉冲随机泛函微分系统的有限时间稳定 |
| Finite-time stability of impulsive stochastic functional differential systems with bounded delays |
| 摘要点击 1434 全文点击 453 投稿时间：2022-03-22 修订日期：2022-10-19 |
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| DOI编号 10.7641/CTA.2022.20204 |
| 2023,40(9):1569-1575 |
| 中文关键词 有限时间稳定 有限时间渐近稳定 脉冲随机泛函微分系统 Lyapunov函数 有界时滞 Razumikhin技巧 |
| 英文关键词 finite-time stability finite-time contractive stability impulsive stochastic functional differential systems Lyapunov functions bounded delays Razumikhin techniques |
| 基金项目 安徽教育厅高校自然科学研究项目(KJ2019A0047)资助. |
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| 中文摘要 |
| 本文研究了具有有界时滞的脉冲随机泛函微分系统的有限时间稳定和有限时间渐近稳定问题. 基于Lyapunov函数、Razumikhin技巧以及平均脉冲区间条件, 本文建立了关于该系统有限时间稳定和有限时间渐近稳定的相关性准则. 最后, 给出例子说明结论的有效性. |
| 英文摘要 |
| This paper is concerned with the finite-time stability and finite-time contractive stability analysis of impulsive stochastic functional differential systems with bounded delays. Based on the Lyapunov functions, Razumikhin techniques and average dwell time approach some finite-time stability and finite-time contractive stability criteria are derived for the related systems. Finally, examples are given to illustrate the efficiency and usefulness of the conclusion. |