| 非线性时变系统部分指数稳定的一次近似 |
| |
| 引用本文： | 蹇继贵,廖晓昕.非线性时变系统部分指数稳定的一次近似[J].控制理论与应用,2005,22(4):632-636. |
| |
| 作者姓名： | 蹇继贵 廖晓昕 |
| |
| 作者单位： | 1. 三峡大学,理学院,湖北,宜昌,443002
2. 华中科技大学,控制科学与工程系,湖北,武汉,430074 |
| |
| 基金项目： | 国家自然科学基金资助项目(60274007,60474011)，高等学校博士点基金资助项目(20010487005). |
| |
| 摘 要： | 通过非线性系统的线性化方法,讨论了一类非线性时变微分系统的解关于部分变量指数稳定的一次近似.利用齐次线性系统的Cauchy矩阵解、截断Cauchy矩阵解和Gronwall_Bellman不等式,得到了线性系统的解部分指数稳定确保原非线性系统的解局部部分指数稳定的充分条件,其中一些结果可以保证部分变量有不同的指数收敛率.最后给出了一些实例说明了所用方法的有效性.
|
| 关 键 词： | 非线性时变系统 部分指数稳定 Cauchy矩阵解 截断Cauchy矩阵解 Gronwall_Bellman不等式 一次近似 |
| 文章编号： | 1000-8152（2005）04-0632-05 |
| 收稿时间： | 2003-12-11 |
| 修稿时间： | 2003-12-112004-09-24 |
First order approximation of partial exponential stability of nonlinear time-varying systems |
| |
| JIAN Ji-gui,LIAO Xiao-xin.First order approximation of partial exponential stability of nonlinear time-varying systems[J].Control Theory & Applications,2005,22(4):632-636. |
| |
| Authors: | JIAN Ji-gui LIAO Xiao-xin |
| |
| Affiliation: | College of Science,China Three Gorges University,Yichang Hubei 443002,China; Department of Control Science and Engineering,Huazhong University of Science and Technology,Wuhan Hubei 430074,China |
| |
| Abstract: | The first order approximation of the partial exponential stability of nonlinear time-varying systems is investigated by linearization approach of nonlinear systems.Based on Cauchy matrices solutions and its interceptive Cauchy matrices solutions of homogeneous linear systems,as well as the Gronwall-Bellman inequality,some sufficient conditions of partial exponential stability are obtained for the systems and some of these results are proved to be able to guarantee different exponential convergence for partial solutions of the systems.Finally,two numerical examples are presented to verify the effectiveness of proposed approach. |
| |
| Keywords: | nonlinear time-varying systems partial exponential stability Cauchy matrices solution interceptive Cauchy matrices solution Gronwall-Bellman inequality approximation of 1st degree |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《控制理论与应用》浏览原始摘要信息 |
|
点击此处可从《控制理论与应用》下载全文 |
