摘要
讨论稳定的实区间多项式族是否存在一个实多项式使之严格正实化问题。通过线性矩阵不等式（ＬＭＩ）给出了存在此多项式的充要条件，并利用Ｍａｔｌａｂ 中的ＬＭＩ软件包求解满足条件的不变多项式。具体算例说明了该算法的有效性。
The problem of whether there exists a real polynomial such that the division of any element, which is in a stable Kharitonov set, by the polynomial is strict positive real functions is discussed. Necessary and sufficient conditions of the existence are given via LMIs, and the polynomial is obtained by using LMI toolbox of Matlab. An example is given to show the effectiveness of the proposed approach.
出处
《控制与决策》
EI
CSCD
北大核心
2000年第1期119-121,共3页
Control and Decision
基金
国家攀登计划基金项目!(970211017)
关键词
正实性
线性矩阵不等式
传递函数
网络理论
interval polynomials, positive realness, linear matrix inequality(LMI)
