| 引用本文: | 王新梅,魏武,裴海龙,贺良华.一类具有区间时变多状态时滞系统的稳定性分析[J].控制理论与应用,2010,27(6):786~792.[点击复制] |
| WANG Xin-mei,WEI Wu,PEI Hai-long,HE Liang-hua.Stabilization analysis for systems with multiple interval time-varying time-delays[J].Control Theory and Technology,2010,27(6):786~792.[点击复制] |
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| 一类具有区间时变多状态时滞系统的稳定性分析 |
| Stabilization analysis for systems with multiple interval time-varying time-delays |
| 摘要点击 1636 全文点击 1022 投稿时间：2008-11-14 修订日期：2009-04-28 |
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| DOI编号 10.7641/j.issn.1000-8152.2010.6.CCTA081259 |
| 2010,27(6):786-792 |
| 中文关键词 区间时变 多状态时滞系统 线性矩阵不等式 |
| 英文关键词 interval time-varying multiple time-delays systems LMI(linear matrix inequality) |
| 基金项目 国家自然科学基金重点资助项目(60736024,60574004). |
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| 中文摘要 |
| 研究一类具有区间时变多状态时滞且时滞导数不确定的系统的稳定性问题. 通过选择合理的Lyapunov-Krasovskii函数结合辅助变量和广义状态法, 以LMI的形式给出了时滞相关的稳定性充分条件. 文中的结论对时滞的导数没有任何限制, 可用于具有快时变时滞系统. 与已有的相关研究成果相比, 结论更具有一般性, 保守性也更低. 最后通过仿真及数值算例说明了本文方法的有效性和优越性. |
| 英文摘要 |
| The stabilization of multiple interval time-varying time-delay systems is considered，in which the derivatives of the time-varying delay is unknown. By choosing appropriate Lyapunov-Krasovskii functional, the auxiliary variables
and the generalized states, we derive for these systems the sufficient conditions of delay-dependent stabilization in terms of LMI (linear matrix inequality). The results are free from the restriction on the derivatives of the time-varying delays; thus, can be applied to systems with fast time-varying time-delay. Compared with existing relevant results, our results are
more general and less conservative. Simulation and numerical examples validate the effectiveness and advantages of the proposed method. |