| 引用本文: | 罗正选,张霄力.时滞切换系统的时滞依赖稳定[J].控制理论与应用,2009,26(1):89~91.[点击复制] |
| LUO Zheng-xuan,ZHANG Xiao-li.Delay-dependent stability of switched linear systems with time-delay[J].Control Theory and Technology,2009,26(1):89~91.[点击复制] |
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| 时滞切换系统的时滞依赖稳定 |
| Delay-dependent stability of switched linear systems with time-delay |
| 摘要点击 10069 全文点击 2602 投稿时间：2007-05-08 修订日期：2008-04-30 |
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| DOI编号 10.7641/j.issn.1000-8152.2009.1.016 |
| 2009,26(1):89-91 |
| 中文关键词 时滞切换系统 时滞依赖稳定 常时滞 变时滞 |
| 英文关键词 switched systems with time-delay delay-dependent stability time-invariant delays time-varying delays |
| 基金项目 国家自然科学基金资助项目(60774033); 福建省青年科技人才创新项目资金资助项目(2005J006); 厦门大学985二期信息创新平台资助项目. |
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| 中文摘要 |
| 首先利用多Lyapunov 函数方法, 分析常时滞切换系统的时滞依赖稳定性, 并给出此系统时滞依赖稳定的充分条件及切换律的设计; 然后运用共同Lyapunov 函数方法, 研究一类时变时滞切换系统的时滞依赖稳定性, 也给出此系统时滞依赖稳定的充分条件及切换律的设计. 所得结果均可用线性矩阵不等式方法求解. 最后通过仿真验证了结论的正确有效性. |
| 英文摘要 |
| First, the delay-dependent stability of switched linear systems with time-invariant delays is studied by using multiple Lyapunov function methods. The sufficient conditions of the delay-dependent stability and the design method of the switching law are developed. Then the stability of a class of switched systems with time-varying delays is analyzed by utilizing common Lyapunov function methods. The sufficient condition of the delay-dependent stability and the design method of the switching law are also determined. All results are obtained by using the linear-matrix-inequality method. The conclusions are proved to be valid by simulation. |