| 基于LMI的一类脉冲切换系统的稳定性与鲁棒稳定性分析 |
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| 引用本文： | 王后能,王仁明,蹇继贵.基于LMI的一类脉冲切换系统的稳定性与鲁棒稳定性分析[J].三峡大学学报(自然科学版),2005,27(1):59-62. |
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| 作者姓名： | 王后能 王仁明 蹇继贵 |
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| 作者单位： | 1. 三峡大学,电气信息学院,湖北,宜昌,443002
2. 三峡大学,理学院,湖北,宜昌,443002 |
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| 基金项目： | 三峡大学博士启动基金资助项目(8091) |
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| 摘 要： | 讨论了线性多模态切换系统的脉冲控制问题．基于多Lyapunov函数方法和线性矩阵不等式，对脉冲切换系统的稳定性和鲁棒稳定性进行了研究。通过求解一组线性矩阵不等式，导出了在任意切换律下系统渐近稳定和鲁棒渐近稳定的充分条件．最后，用数值例子阐明了结果的可行性．
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| 关 键 词： | 鲁棒稳定性分析 切换系统 LMI 线性矩阵不等式 多Lyapunov函数 渐近稳定 多模态 充分条件 脉冲 求解 |
| 文章编号： | 1672-948X(2005)01-0059-03 |
| 修稿时间： | 2004年10月27 |
Analysis of Stability and Robust Stability for a Class of Impulsive Switched System via LMI |
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| Wang Houneng,Wang Renming,Jian Jigui.Analysis of Stability and Robust Stability for a Class of Impulsive Switched System via LMI[J].Journal of China Three Gorges University(Natural Sciences),2005,27(1):59-62. |
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| Authors: | Wang Houneng Wang Renming Jian Jigui |
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| Institution: | Wang Houneng 1 Wang Renming 1 Jian Jigui 2 |
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| Abstract: | In this paper,impulsive control for linear multiplemodel switched system is considered.Based on linear matrix inequalities,the stability and robust stability of impulsive switched system are studied.Sufficient conditions for the stability and robust stability which can be expressed as a standard linear matrix inequalities,with arbitrary switching law, are derived via the multiple-lyapunov functions.Finally,an example is given to illustrate the results obtained. |
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| Keywords: | impulsive switched systems stability robust stability Linear Matrix Inequality(LMI) |
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