| 具有离散时滞与分时时滞的非自治系统的渐近稳定性 |
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| 引用本文： | 杨红伟. 具有离散时滞与分时时滞的非自治系统的渐近稳定性[J]. 兵团教育学院学报, 2008, 18(1): 34-36 |
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| 作者姓名： | 杨红伟 |
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| 作者单位： | 石河子大学师院/兵团教院,新疆,石河子,832003 |
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| 摘 要： | 研究了一类具有离散时滞与分布时滞的非自治线性系统的渐近稳定性问题，利用Lyaplunov函数方法和线性矩阵不等式（LMI），得到了系统渐近稳定性的一些充分条件，这些条件能够利用线性矩阵不等式（LMIs）表示，且表达式中含有具有时变时滞与分布时滞项，这样，具有时变时滞与分布时滞的非自治线性系统的稳定性就能够通过Matlab的LIM工具箱进行验证。
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| 关 键 词： | 时滞 稳定性 线性矩阵不等式 Lyapunov 函数 |
| 文章编号： | 1009-1548(2008)01-0034-02 |
| 修稿时间： | 2007-08-13 |
Asymptotic Stability of nonautonomous system with the discrete and distributed time-varying delay |
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| Yang Hong-wei. Asymptotic Stability of nonautonomous system with the discrete and distributed time-varying delay[J]. Journal of Bingtuan Education Institute, 2008, 18(1): 34-36 |
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| Authors: | Yang Hong-wei |
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| Affiliation: | Yang Hong- wei (Teacher College of Shihezi University/Bingtuan Education Institute, Shihezi, Xinjiang 832003, China) |
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| Abstract: | In this paper,asymptotic stability are investigated for nonautonomous linear system with both the discrete and distributed time-varying delays.By using the Lyapunov-Krasovskii function method and using linear matrix inequalities(LMI),we give sufficient conditions for the asymptotic stability of the system.These conditions are expressed in terms of LMIs,and are dependent on both the discrete and distributed time delays.Therefore,the stability of the linear system can be checked readily by resorting the Matlab LMI toolbox. |
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| Keywords: | Time Delay Stability Linear Matrix Inequalities Lyapunov Funcition |
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