| 一类时变广义系统的稳定性 |
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| 引用本文： | 吴丹,朱经浩. 一类时变广义系统的稳定性[J]. 同济大学学报(自然科学版), 2010, 38(6): 925-928. DOI: 10.3969/j.issn.0253-374x.2010.06.025 |
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| 作者姓名： | 吴丹 朱经浩 |
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| 作者单位： | 同济大学,数学系,上海,200092 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 研究了一类时变广义系统的能稳定性,并得出在满足一定条件下,该类广义系统是能稳定的结论.建立相应的广义Riccati矩阵微分方程线性迭代算法,用以寻求稳定广义系统的状态反馈控制,应用所得的结果计算了一个实例.
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| 关 键 词： | 时变广义系统 能稳定性 Riccati矩阵微分方程 状态反馈控制 |
| 收稿时间： | 2009-03-18 |
| 修稿时间： | 2010-04-02 |
On Stability for a Class of Time-varying Singular System |
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| WU Dan and ZHU Jinghao. On Stability for a Class of Time-varying Singular System[J]. Journal of Tongji University(Natural Science), 2010, 38(6): 925-928. DOI: 10.3969/j.issn.0253-374x.2010.06.025 |
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| Authors: | WU Dan and ZHU Jinghao |
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| Affiliation: | Department of Mathematics,Tongji University,Shanghai 200092,China;Department of Mathematics,Tongji University,Shanghai 200092,China |
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| Abstract: | A class of time-varying singular system is investigated.A conclusion is drawn that the time-varying singular system satisfying some conditions is stabilizable.An iteration method for solving the corresponding Riccati matrix differential equation is established.Moreover,an example is given to illustrate the process for obtaining stabilizing feedback control of a time-varying singular system. |
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| Keywords: | time-varying singular system stabilizability Riccati matrix differential equation stabilizing feedback control |
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