| 切换对称组合系统的稳定性 |
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| 引用本文： | 孙洪飞,赵 军. 切换对称组合系统的稳定性[J]. 控制理论与应用, 2003, 20(3): 441-444 |
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| 作者姓名： | 孙洪飞 赵 军 |
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| 作者单位： | 1. 厦门大学自动化系,福建,厦门,361005
2. 东北大学信息工程学院,辽宁,沈阳,110006 |
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| 基金项目： | 国家自然科学基金(60274009); 高等学校博士学科点专项科研基金(20020145007). |
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| 摘 要： | 首次提出了切换对称组合系统的概念, 研究了此类系统在任意切换下渐近稳定的条件, 同时分别利用多李雅普诺夫函数方法和单李雅普诺夫函数方法, 给出使切换对称组合系统渐近稳定的切换律, 利用切换对称组合系统的结构特点, 使其切换律的设计条件得到简化.
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| 关 键 词： | 切换系统 对称组合系统 稳定性 |
| 文章编号： | 1000-8152(2003)03-0441-04 |
| 收稿时间： | 2001-03-30 |
| 修稿时间： | 2001-03-30 |
Stability of a class of switched symmetric composite systems |
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| SUN Hong-fei,ZHAO Jun. Stability of a class of switched symmetric composite systems[J]. Control Theory & Applications, 2003, 20(3): 441-444 |
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| Authors: | SUN Hong-fei ZHAO Jun |
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| Affiliation: | Department of Automation, Xiamen University, Fujian Xiamen 301005, China; School of Information Science and Engineering, Northeastern University, Liaoning Shenyang 110006, China |
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| Abstract: | A new class of symmetric composite systems is proposed. These systems are composed of linear switched subsystems with similar dynamics interconnected in a symmetrical fashion. A sufficient condition of the stability of this system for arbitrary switching is obtained. Two kinds of constructive switching laws under which the switched symmetric composite systems are stable are also provided. All the conclusions are simplified by using the structural properties. |
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| Keywords: | switched systems symmetric composite systems stability |
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