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基于LMI的时滞切换系统的稳定性分析
引用本文:卢建宁,赵光宙.基于LMI的时滞切换系统的稳定性分析[J].江南大学学报(自然科学版),2006,5(2):171-173,178.
作者姓名:卢建宁  赵光宙
作者单位:浙江大学,电气工程学院,浙江,杭州,310027
摘    要:研究一类子系统为时滞系统的切换系统渐近稳定性问题.以线性矩阵不等式的形式提出了在任意切换信号作用下系统渐近稳定的充分性条件,给出了系统渐近稳定的凸组合条件以及切换信号的选取.仿真实例证明了所设计的切换方案的有效性.

关 键 词:切换系统  时滞  线性矩阵不等式  稳定性
文章编号:1670-7147(2006)02-0170-03
收稿时间:2004-12-03
修稿时间:2004-12-032005-03-07

Stability Analysis Based on LMI for Switched Systems with Time Delay
LU Jian-ning,ZHAO Guang-zhou.Stability Analysis Based on LMI for Switched Systems with Time Delay[J].Journal of Southern Yangtze University:Natural Science Edition,2006,5(2):171-173,178.
Authors:LU Jian-ning  ZHAO Guang-zhou
Affiliation:College of Electrical Engineering, Zhejiang University, Hangzhou 310027,China
Abstract:The asymptotic stability of switched systems whose subsystems are time delay systems is studied in this paper.The sufficient condition is firstly derived via LMI approach for the asymptotic stability of such system under arbitrary switching.Secondly,the paper develops the convex combination conditions for asymptotic stability of such system and how to choose switching strategy.The simulation result shows the validity of the designed switching strategy.
Keywords:switched systems  time delay  linear matrix inequalities(LMI)  stability  
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