| 一类连续切换系统的渐近稳定性 |
| |
| 引用本文： | 李卫东,李宗海,汪军.一类连续切换系统的渐近稳定性[J].大连铁道学院学报,2010(2):68-70. |
| |
| 作者姓名： | 李卫东 李宗海 汪军 |
| |
| 作者单位： | 大连交通大学电气信息学院;大连交通大学理学院; |
| |
| 基金项目： | 国家自然科学基金资助项目(60870009); 辽宁省教育厅高等学校科研计划资助项目(2008098,2009A114) |
| |
| 摘 要： | 针对一类连续时变时滞切换系统,通过构造适当的Lyapunov函数,提供适当的能量函数.利用线性矩阵不等式方法,讨论系统的能量递减,证明该系统在任意切换下的稳定性.通过MATLAB数值仿真,结果表明该系统是渐近稳定的,表明该方法是有效的.
|
| 关 键 词： | 切换系统 Lyapunov函数 LMI |
Asymptotic Stability of One Continuous Switching Systems |
| |
| LI Wei-dong,LI Zong-hai,WANG Jun.Asymptotic Stability of One Continuous Switching Systems[J].Journal of Dalian Railway Institute,2010(2):68-70. |
| |
| Authors: | LI Wei-dong LI Zong-hai WANG Jun |
| |
| Institution: | LI Wei-dong1,LI Zong-hai1,WANG Jun2(1.School of Electronic , Information Engineering,Dalian Jiaotong University,Dalian 116028,China,2.School of Machematics , Physics,China) |
| |
| Abstract: | Switching system is one kinds of hybrid systems,it is constructed by a type of subsystem and a control switch rule.Aiming at a class of continuous time-varying delay switch system,the system stability under arbitrary switching is discussed through selecting proper Lyapunov function and using the LMI.The simulation result shows that the systems are asymptotically stable,which proves effectiveness of the method. |
| |
| Keywords: | switching systems Lyapunov function LMI |
| 本文献已被 CNKI 维普 等数据库收录！ |
|
