基于时滞分割法的不确定时滞系统的稳定性分析  

Stability Analysis of Uncertain System with Time-delay Based on Delay Decomposition Method

作　　者：王燕[1] 王天成[1] 

机构地区：[1]鲁东大学数学与信息学院,山东烟台264039

出　　处：《鲁东大学学报（自然科学版）》2011年第3期220-224,228,共6页Journal of Ludong University:Natural Science Edition

基　　金：国家自然科学基金(10771122;60774016)

摘　　要：利用一个新的Lyapunov-Krasovskii泛函,结合时滞分割法将整个时滞区间划分为N个部分区间,并引入一些自由权矩阵,讨论了一类不确定时滞系统的时滞相关稳定性问题,获得了基于线性矩阵不等式的时滞相关稳定的充分条件,结果具有更小的保守性.仿真实例表明了本文方法的有效性.According to a new Lyapunov-Kvasivskill functional and delay decomposition method,which splits the whole delay interval into N subintervals,following the free-weighting matrices lines,the problem of a delay-dependent asymptotic stability for a class of uncertain linear systems with time-delay is discussed,a new delay-dependent asymptotic stability criterion which is less conservative,is presented and expressed in terms of linear matrix inequalities.Numerical examples are given to illustrate the effectiveness of the new proposed stability criterion.

关 键 词：LYAPUNOV-KRASOVSKII泛函 时滞系统 时滞相关 线性矩阵不等式 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]