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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.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.
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Key words:
- H∞ model approximation /
- linear matrix inequality /
- lower bound of order
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