| 时滞切换系统的时滞依赖稳定 |
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| 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 |
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| 作者姓名： | 罗正选 张霄力 |
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| 作者单位： | 1. 中国电信深圳市分公司,广东深圳,518048
2. 厦门大学自动化系,福建厦门,361005 |
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| 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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| 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.
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| 关 键 词： | 时滞切换系统 时滞依赖稳定 常时滞 变时滞 |
| 收稿时间： | 2007-05-08 |
| 修稿时间： | 2008-04-30 |
Delay-dependent stability of switched linear systems with time-delay |
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| LUO Zheng-xuan and ZHANG Xiao-li. Delay-dependent stability of switched linear systems with time-delay[J]. Control Theory & Applications, 2009, 26(1): 89-91 |
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| Authors: | LUO Zheng-xuan and ZHANG Xiao-li |
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| Affiliation: | China Telecom Shenzhen Corporation, Shenzhen Guangdong 518048, China;Department of Automation, Xiamen University, Xiamen Fujian 361005, China |
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| Abstract: | 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. |
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| Keywords: | switched systems with time-delay delay-dependent stability time-invariant delays time-varying delays |
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