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| 切换线性时滞系统的稳定性判据 | |
| 引用本文： | 宗广灯,武玉强,徐胜元.切换线性时滞系统的稳定性判据[J].控制理论与应用,2008,25(5):951-955. |
| 作者姓名： | 宗广灯 武玉强 徐胜元 |
| 作者单位： | 1. 南京理工大学,自动化学院,江苏,南京,210094;曲阜师范大学,自动化研究所,山东,曲阜,273165 2. 曲阜师范大学,自动化研究所,山东,曲阜,273165 3. 南京理工大学,自动化学院,江苏,南京,210094 |
| 基金项目： | 国家自然科学基金，高等学校博士学科点专项科研项目，中国博士后科学基金，江苏省博士后科学基金 |
| 摘 要： | 考虑了一类切换线性时滞系统的稳定性问题.基于Lyapunov函数方法和矩阵测度的概念,分别给出了切换系统时滞独立以及时滞依赖的渐近稳定性和指数稳定性判据,设计了相应的镇定切换律.最后,通过数值算例验证了所提算法的正确有效性. |
| 关 键 词： | 切换线性系统 时滞 公共Lyapunov函数 渐近稳定性 矩阵测度 |
| 收稿时间： | 2006/12/31 0:00:00 |
| 修稿时间： | 7/9/2007 12:00:00 AM |
Stability criteria for switched linear systems with time-delay |
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| ZONG Guang-deng,WU Yu-qiang and XU Sheng-yuan.Stability criteria for switched linear systems with time-delay[J].Control Theory & Applications,2008,25(5):951-955. | |
| Authors: | ZONG Guang-deng WU Yu-qiang and XU Sheng-yuan |
| Affiliation: | School of Automation, Nanjing University of Science and Technology, Nanjing, Jiangsu 210094, China; Research Institute of Automation, Qufu Normal University, Qufu Shandong 273165, China;Research Institute of Automation, Qufu Normal University, Qufu Shandong 273165, China;School of Automation, Nanjing University of Science and Technology, Nanjing, Jiangsu 210094, China |
| Abstract: | The stability problem for a class of switched linear systems with time-delay is considered. Based on the Lyapunov function method and the concept of matrix measure, we propose both the time-delay independent criteria and the time-delay dependent criteria for the asymptotic stability and exponential stability respectively. The corresponding stabilizing switching laws are also provided. Two examples are given to show the validity of the presented algorithms. |
| Keywords: | switched linear systems time delay common Lyapunov function asymptotic stability matrix measure |
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