【摘要】 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 .此下界由某个特定矩阵非负特征值的个数及系统的阶数来确定更多还原

【Abstract】 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.更多还原