| 离散奇异时滞系统时滞依赖稳定性分析与镇定 |
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| 引用本文： | 孙欣,张庆灵,杨春雨,邵永运,苏湛.离散奇异时滞系统时滞依赖稳定性分析与镇定[J].自动化学报,2010,36(10):1477-1483. |
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| 作者姓名： | 孙欣 张庆灵 杨春雨 邵永运 苏湛 |
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| 作者单位： | 1.东北大学系统科学研究所 沈阳110004 |
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| 摘 要： | 分别研究了离散奇异时滞系统时滞依赖稳定性分析与镇定问题. 首先给出了一个新的离散奇异时滞系统时滞依赖容许性充分条件. 经过证明, 所提出的方法与现有结论相比, 具有一定的优势. 然后, 运用矩阵理论技巧，设计出状态反馈控制器保证闭环离散奇异时滞系统是容许的. 最后，两个数值例子说明了所用方法的有效性.
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| 关 键 词： | 离散奇异时滞系统 时滞依赖稳定性 镇定 容许的 状态反馈控制 |
| 收稿时间： | 2009-12-2 |
| 修稿时间： | 2010-7-8 |
Delay-dependent Stability Analysis and Stabilization of Discrete-time Singular Delay Systems |
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| SUN Xin,ZHANG Qing-Ling,YANG Chun-Yu,SHAO Yong-Yun,SU Zhan.Delay-dependent Stability Analysis and Stabilization of Discrete-time Singular Delay Systems[J].Acta Automatica Sinica,2010,36(10):1477-1483. |
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| Authors: | SUN Xin ZHANG Qing-Ling YANG Chun-Yu SHAO Yong-Yun SU Zhan |
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| Affiliation: | 1.Institute of Systems Science, Northeastern University, Shenyang 110004, P.R. China;2.Key Laboratory of Integrated Automation of Process Industry, Ministry of Education, Northeastern University, Shenyang 110004, P.R. China;3.Department of Computer and Mathematics Teaching, Shenyang Normal University, Shenyang 110034, P.R. China;4.Transportation Management College, Dalian Maritime University, Dalian 116026, P.R. China |
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| Abstract: | In this paper, delay-dependent stability analysis and stabilization of discrete-time singular delay systems are addressed, respectively. First, a new delay-dependent sufficient condition of admissibility for discrete-time singular delay systems is derived. The proposed method is proved to have some advantages over the existing results. Then, by applying the skill of matrix theory, a state feedback controller is designed to guarantee the closed-loop discrete-time singular delay systems to be admissible. Finally, two numerical examples are given to demonstrate the effectiveness of the proposed method. |
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| Keywords: | Discrete-time singular delay systems delay-dependent stability stabilization admissible state feedback control |
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