一类不确定奇异系统的鲁棒稳定性分析方法  

Robust stability analysis method for a kind of uncertain singular system

作　　者：刘梅 张高民 赵永倩 

机构地区：[1]中国石油大学(华东)理学院,山东青岛266580

出　　处：《山东理工大学学报（自然科学版）》2012年第3期28-30,共3页Journal of Shandong University of Technology:Natural Science Edition

摘　　要：根据不确定系统的线性分式模型,构造出一类不确定奇异系统的线性分式模型.定义了具有这种模型的不确定奇异系统的广义二次稳定性,给出了其广义二次稳定的充要条件,并利用严格的线性矩阵不等式和矩阵Shur补性质给出其证明过程.According to the linear fractional mode of uncertainty system, a linear fractional modelfor uncertain singular system is built. First of all, the uncertain singular system＇s generalizedquadratic stability is defined based on this model, and the necessary and sufficient condition for the generalized quadratic stability is given. Next, strictly linear matrix inequality and the matrix Shur fill properties are used to prove it.

关 键 词：不确定奇异系统 广义二次稳定性 线性矩阵不等式 

分 类 号：O231[理学—运筹学与控制论]