| 时滞切换系统指数稳定性分析: 多Lyapunov函数方法 |
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| 引用本文： | 丛屾,费树岷,李涛.时滞切换系统指数稳定性分析: 多Lyapunov函数方法[J].自动化学报,2007,33(9):985-988. |
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| 作者姓名： | 丛屾 费树岷 李涛 |
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| 作者单位： | 1.南京理工大学自动化学院 南京 210094 |
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| 摘 要： | 将多 Lyapunov 函数方法推广至时滞情形, 分析切换与时滞对于稳定性的影响. 以 Halanay 不等式为引理, 给出了与时滞相关的切换序列约束条件, 以保证系统的指数稳定性. 若时滞项消失, 本文关于切换对于稳定性影响的分析与无时滞情形的相关结论是一致的. 仿真结果说明了本文方法的有效性.
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| 关 键 词： | 切换系统 时滞 指数稳定 Halanay不等式 |
| 收稿时间： | 2006-4-18 |
| 修稿时间： | 2006-04-182006-11-06 |
Exponential Stability of Switched Systems with Delay: a Multiple Lyapunov Function Approach |
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| CONG Shen,FEI Shu-Min,LI Tao.Exponential Stability of Switched Systems with Delay: a Multiple Lyapunov Function Approach[J].Acta Automatica Sinica,2007,33(9):985-988. |
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| Authors: | CONG Shen FEI Shu-Min LI Tao |
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| Affiliation: | 1.Automation School, Nanjing University of Science and Technology, Nanjing 210094;2.Research Institute of Automation, Southeast University, Nanjing 210096 |
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| Abstract: | The switched system consisting of a family of subsystems with delay is considered. In the time-delay situation, the multiple Lyapunov function approach is generalized to investigate the effect of switching and state-delay on stability. Using the Halanay inequality, the delay-dependent constraint condition on switching sequence is derived to guarantee the exponential stability. In the situation without time delay, the correspondent analysis result of switching effect on stability is a special case of our conclusions. Numerical examples are given to demonstrate the proposed approach. |
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| Keywords: | Switched systems time-delay exponential stability Halanay inequality |
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