| 李章蝶,肖民卿.Delta算子脉冲切换时滞系统的稳定性分析与镇定[J].井冈山大学自然版,2025,46(6):1-9 |
| Delta算子脉冲切换时滞系统的稳定性分析与镇定 |
| Stability analysis and stabilization of Delta operator impulsive switched time-delay systems |
| 投稿时间：2025-04-24 修订日期：2025-06-12 |
| DOI：10.3969/j.issn.1674-8085.2025.06.001 |
| 中文关键词: Delta算子切换系统 脉冲 时滞 时变状态反馈控制器 稳定性 |
| 英文关键词: Delta operator switched systems impulse time delays time-varying state feedback controller stability |
| 基金项目:国家自然科学基金联合基金项目(U2242214) |
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| 中文摘要: |
| 针对所有子系统不稳定的Delta算子脉冲切换时滞系统，基于模态依赖的间隔驻留时间切换规则，运用时变Lyapunov-Krasovskii函数法，得到使所有子系统不稳定的Delta算子脉冲切换时滞系统渐近稳定的稳定性判据。同时，对于开环不稳定的系统，设计时变状态反馈控制器，以确保闭环系统的稳定性。最后，通过数值算例验证了时变状态反馈控制器设计方法的有效性。 |
| 英文摘要: |
| For delta operator impulsive switched time-delay systems with all unstable subsystems, this paper establishes the asymptotic stability criteria based on a mode-dependent dwell-time switching strategy and time-varying Lyapunov-Krasovskii functional methods. Furthermore, for open-loop unstable systems, a time-varying state feedback controller is designed to guarantee the closed-loop system’s stability. Finally, the numerical examples are provided to validate the effectiveness of the proposed controller design approach. |
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