| 不确定广义跳变时滞系统的鲁棒指数稳定性 |
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| 引用本文： | 吴争光,苏宏业,褚健. 不确定广义跳变时滞系统的鲁棒指数稳定性[J]. 自动化学报, 2010, 36(4): 558-563. DOI: 10.3724/SP.J.1004.2010.00558 |
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| 作者姓名： | 吴争光 苏宏业 褚健 |
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| 作者单位： | 1.浙江大学智能系统与控制研究所 杭州 310027 |
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| 基金项目： | Supported by National High Technology Research and Development Program of China (863 Program) (2008AA042902);;National Natural Science Foundation of P.R. China (60736021);;National Creative Research Groups Science Foundation of China (60721062) |
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| 摘 要： | 讨论不确定广义跳变时滞系统的鲁棒指数稳定性问题. 利用线性矩阵不等式(LMI)技术给出一个时滞区间依赖条件保证标称系统正则、无脉冲且均方指数稳定. 同时该准则也被推广至不确定系统. 数值例子说明本文的结果改进了已有的结论.
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| 关 键 词： | 广义系统 跳变参数 时滞 指数稳定性 线性矩阵不等式(LMI) |
| 收稿时间： | 2008-11-18 |
| 修稿时间： | 2009-04-21 |
Robust Exponential Stability of Uncertain Singular Markovian Jump Time-delay Systems |
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| WU Zheng-Guang SU Hong-Ye CHU Jian .National Laboratory of Industrial Control Technology. Robust Exponential Stability of Uncertain Singular Markovian Jump Time-delay Systems[J]. Acta Automatica Sinica, 2010, 36(4): 558-563. DOI: 10.3724/SP.J.1004.2010.00558 |
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| Authors: | WU Zheng-Guang SU Hong-Ye CHU Jian .National Laboratory of Industrial Control Technology |
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| Affiliation: | 1.National Laboratory of Industrial Control Technology, Institute of Cyber-Systems and Control, Zhejiang University, Hangzhou 310027, P.R. China |
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| Abstract: | In this paper, the problem of delay-dependent robust exponential stability is investigated for uncertain singular Markovian jump systems with time delay. A delay-range-dependent condition is given which ensures that the nominal system is regular, impulse free, and mean-square exponentially stable in terms of linear matrix inequality (LMI) approach. The criterion is also extended to uncertain case. Numerical examples are given to show that the proposed criteria improve the existing results. |
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| Keywords: | Singular systems Markovian jumping parameters time delay exponential stability linear matrix inequality (LMI) |
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