| 一类切换线性广义系统的稳定性 |
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| 引用本文： | 尹玉娟,刘玉忠,赵军.一类切换线性广义系统的稳定性[J].控制与决策,2006,21(1):24-0027. |
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| 作者姓名： | 尹玉娟 刘玉忠 赵军 |
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| 作者单位： | 东北大学,教育部暨辽宁省流程工业综合自动化重点实验室,沈阳,110004;沈阳师范大学,数学与系统科学学院,沈阳,110034;东北大学,信息与工程学院,沈阳,110004 |
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| 基金项目： | 国家自然科学基金项目（60574013;60274009）;高等学校博士学科点专项科研基金项目（20020145007）;辽宁省自然科学基金项目（20032020）. |
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| 摘 要： | 提出了一种新的切换系统即广义切换系统．应用共同Lyapunov函数方法研究切换线性广义系统的稳定性，给出了切换广义系统在任意切换律下都稳定的充分条件．以及构造一类共同Lyapunov函数的方法．最后的数值例子说明了方法的可行性．
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| 关 键 词： | 切换系统 切换线性广义系统 共同Lyapunov函数 |
| 文章编号： | 1001-0920（2006）01-0024-04 |
| 收稿时间： | 2004-10-20 |
| 修稿时间： | 2005-07-04 |
Stability of a Class of Switched Linear Singular Systems |
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| YIN Yu-juan,LIU Yu-zhong,ZHAO Jun.Stability of a Class of Switched Linear Singular Systems[J].Control and Decision,2006,21(1):24-0027. |
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| Authors: | YIN Yu-juan LIU Yu-zhong ZHAO Jun |
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| Affiliation: | 1a. Key Laboratory of Process Industry Automation, Ministry of Education; 1b. College of Information Science and Engineering, Northeastern University, Shenyang 110004, China; 2. School of Mathematics and System Sciences, Shenyang Normal University, Shenyang 110034, China. |
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| Abstract: | A new class of switched systems, called switched singular systems, is introduced. Stability of switched linear singular systems under arbitrary switching signals is investigated. A sufficient condition for the existence of a common Lyapunov Function is given and a method to construct such a common Lyapunov Function is also presented. A numerical example is given to illustrate the result. |
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| Keywords: | Switched systems Switched linear singular systems Common Lyapunov function |
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