[1]林相泽.非线性切换系统的输入输出对状态稳定[J].南京理工大学学报(自然科学版),2010,(03):303-308.
 LIN Xiang-ze,ZOU Yun.Input-output-to-state Stability of Nonlinear Switched Systems[J].Journal of Nanjing University of Science and Technology,2010,(03):303-308.
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非线性切换系统的输入输出对状态稳定
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《南京理工大学学报》(自然科学版)[ISSN:1005-9830/CN:32-1397/N]

卷:
期数:
2010年03期
页码:
303-308
栏目:
出版日期:
2010-06-30

文章信息/Info

Title:
Input-output-to-state Stability of Nonlinear Switched Systems
作者:
林相泽1 2 邹云2
1. 南京农业大学工学院, 江苏南京210031; 2. 南京理工大学自动化学院, 江苏南京210094
Author(s):
LIN Xiang-ze12ZOU Yun2
1.College of Engineering,Nanjing Agricultural University,Nanjing 210031,China;2.School of Automation,NUST,Nanjing 210094,China
关键词:
切换系统 输入输出对状态稳定 状态模估计器 李亚普诺夫函数
Keywords:
switched systems input-output-to-state stability state-norm estimator Lyapunov function
分类号:
TP13
摘要:
为观测和估计切换系统状态,该文提出了一类非线性切换系统一致输入输出对状态稳定的充分条件。在一定条件下将切换系统化为受扰动系统。利用受扰动系统一致输入输出对状态稳定的结论,证明了非线性切换系统一致输入输出对状态稳定,存在光滑的李亚普诺夫函数和存在状态模估计器三者之间的等价关系。讨论了切换系统一致输入输出对状态稳定与其它相关稳定性之间的关系。
Abstract:
To observe and estimate the state of switched systems,sufficient conditions for uniform input-output-to-state stability of nonlinear switched systems are proposed here.In some condition,switched systems are transformed into disturbed systems.Equivalence among uniform input-output-to-state stability of nonlinear switched systems,the existence of smooth Lyapunov function and the existence of the state-norm estimator is proved by using uniform input-output-to-state stability conclusions of disturbed systems.The relationship between uniform input-output-to-state stability of nonlinear switched systems and other stability property is discussed.

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相似文献/References:

[1]方志明,等.一类参数不确定切换Lurie系统鲁棒稳定性分析[J].南京理工大学学报(自然科学版),2009,(02):152.
 FANG Zhi-ming,XIANG Zheng-rong,CHEN Qing-wei.Robust Stabilization Analysis of a Class of Switched Lurie Systems with Parameter Uncertainty[J].Journal of Nanjing University of Science and Technology,2009,(03):152.
[2]宋杨,向峥嵘,陈庆伟,等.一类离散时延线性切换系统的控制器设计[J].南京理工大学学报(自然科学版),2005,(06):724.
 SONG Yang,XIANG Zheng-rong,CHEN Qing-wei,et al.Controller Design of Discrete Linear Switched Systems with Time Delay[J].Journal of Nanjing University of Science and Technology,2005,(03):724.

备注/Memo

备注/Memo:
基金项目: 国家自然科学基金( 60474078; 60574015; 60304001) ; 南京农业大学青年科技创新基金( KJ09029) ?? 作者简介: 林相泽( 1977- ), 男, 博士生, 副教授, 主要研究方向: 切换系统、复杂网络控制等, E-mail: xzlin@ njau. edu. cn; 通讯作者: 邹云( 1962- ) , 男, 教授, 博士生导师, 主要研究方向: 应急控制理论, 微分代数 系统理论等, E-mail: zouyun@ v ip. 163. com。
更新日期/Last Update: 2010-06-30