时变时滞线性系统的时滞相关鲁棒稳定性(英文)  

Delay-dependent criteria for robust stability of linear systems with time-varyingdelay

作　　者：孟浩飞[1] 康宇[1] 翟弟华[1] 

机构地区：[1]中国科学技术大学自动化系,安徽合肥230027

出　　处：《中国科学技术大学学报》2013年第7期523-531,共9页JUSTC

基　　金：Supported by National Natural Science Foundation of China(60935001,61174061,61074033);Anhui Provincial Natural Science Foundation(11040606M143);Fundamental Research Funds for the Central Universities and the Program for New Century Excellent Talents in University

摘　　要：考虑到时变时滞在给定区间内的线性时滞系统的鲁棒稳定性,为了引入一些与时变时滞相关的状态变量,构建了一个新的Lyapunov函数,分别得出了以线性矩阵不等式形式表示的关于标称系统以及带范数有界不确定性的系统的保守性更低的结论.一些数值算例表明了所得结论的有效性.The robust stability of linear systems with time-varying delay was considered in a given range. A new Lyapunov functional was constructed to introduce some state variables related to time-varying delay. Some less conservative results were derived in terms of linear matrix inequalities with respect to nominal systems and systems with norm-bounded uncertainties, respectively. Some numerical examples show the effectiveness of the derived results.

关 键 词：时变时滞 LYAPUNOV-KRASOVSKII函数 不均匀分解 时滞相关稳定性 线性矩阵不等式 

分 类 号：TP272[自动化与计算机技术—检测技术与自动化装置]