| 引用本文: | 董亚丽,秦化淑.三阶系统族的共同二次Lyapunov函数[J].控制理论与应用,2006,23(2):235~239.[点击复制] |
| DONG Ya-li,QIN Hua-shu.Common quadratic Lyapunov functions for third order systems[J].Control Theory and Technology,2006,23(2):235~239.[点击复制] |
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| 三阶系统族的共同二次Lyapunov函数 |
| Common quadratic Lyapunov functions for third order systems |
| 摘要点击 1640 全文点击 998 投稿时间：2004-07-27 修订日期：2005-07-21 |
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| DOI编号 10.7641/j.issn.1000-8152.2006.2.014 |
| 2006,23(2):235-239 |
| 中文关键词 共同二次Lyapunov函数 正交变换 切换系统 |
| 英文关键词 common quadratic Lyapunov function(QLF) orthogonal transformation switched system |
| 基金项目 天津市高等学校科技发展基金资助项目(20051527) |
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| 中文摘要 |
| 研究了寻找三阶系统族的共同二次Lyapunov函数问题.针对给定的稳定的三阶系统提出了寻找二次Lyapunov函数集的方法,然后获得了三阶系统族具有共同二次Lyapunov函数的充分条件.该充分条件易于构造,从而具有较强的工程实用性.文中实例验证了所得结果的有效性. |
| 英文摘要 |
| This paper considers the problem of finding a common quadratic Lyapunov function for a set of third order systems.Firstly,for a given stable third order system,the method to seek the set of quadratic Lyapunov functions is proposed,and then,a sufficient condition for a set of third order systems to share a common quadratic Lyapunov function is obtained. The proposed sufficient condition is easy to be constructed and applied.Finally,an example is given to verify the effectiveness of the obtained results. |