| 引用本文: | 张雨,程培.带有时滞脉冲的非线性随机时滞系统的有限时间稳定性[J].控制理论与应用,2025,42(5):903~910.[点击复制] |
| ZHANG Yu,CHENG Pei.Finite-time stability of nolinear stochastic delay systems with delayed impulses[J].Control Theory & Applications,2025,42(5):903~910.[点击复制] |
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| 带有时滞脉冲的非线性随机时滞系统的有限时间稳定性 |
| Finite-time stability of nolinear stochastic delay systems with delayed impulses |
| 摘要点击 4502 全文点击 73 投稿时间：2023-10-03 修订日期：2024-12-19 |
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| DOI编号 10.7641/CTA.2024.30661 |
| 2025,42(5):903-910 |
| 中文关键词 随机时滞系统 时滞脉冲 比较原理 平均脉冲区间 有限时间稳定 |
| 英文关键词 stochastic delay systems delayed impulses comparison principle finite-time stability average implusive interval |
| 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(2022AH050108)资助. |
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| 中文摘要 |
| 本文研究带有时滞脉冲的非线性随机时滞系统的有限时间稳定性问题. 首先, 基于Lyapunov函数和脉冲系
统的比较原理, 得到该系统有限时间稳定的充分条件; 其次, 基于脉冲控制理论, 分别研究具有镇定脉冲和反镇定脉
冲的非线性随机常时滞系统的有限时间稳定性; 接着, 利用线性矩阵不等式和随机分析技巧, 将所得的结果应用到
线性系统中; 最后, 给出两个数值算例验证了结果的有效性. |
| 英文摘要 |
| This paper investigates the finite-time stability of nonlinear stochastic delay systems with delayed impulses. Firstly, based on the average implusive interval and the comparison principle of implusive systems, some sufficient
conditions for finite-time stability of systems are established. Secondly, based on implusive control theory, we investigate
finite-time stability of nolinear stochastic delay systems involving stabilizing impluses and destabilizing impluses. Then
the results are applied to the linear system by using linear matrix inequalities and stochastic analysis techniques. Finally,
two numerical examples are presented to verify the validity of the results. |