H_∞逼近系统阶数的一个下界

A Lower Bound of the Order for H_∞Approximation System

文章研究了H∞ 模型降阶问题中H∞ 误差界与逼近系统最小阶数之间的关系 .对于事先给定的H∞ 误差界 ,利用代数方法给出了逼近系统阶数的一个下界 .

The relationship between H ∞error bound and the minimal order of the approximation system of the H ∞model approximation problems is considered. A lower bound of the order for the approximation system is given for a given H ∞error bound, which is determined by the number of the nonnegative eigenvalues of some specific matrix and the order of the system.