A REGULARITY RESULT FOR THE SINGULAR-VALUES OF A TRANSFER-MATRIX AND A QUADRATICALLY CONVERGENT ALGORITHM FOR COMPUTING ITS L-INFINITY-NORM

被引：136

作者：

BOYD, S ^{[1
]}

BALAKRISHNAN, V ^{[1
]}

机构：

[1] STANFORD UNIV,DEPT ELECT ENGN,INFORMAT SYST LAB,STANFORD,CA 94305

来源：

SYSTEMS & CONTROL LETTERS | 1990年 / 15卷 / 01期

基金：

美国国家科学基金会;

关键词：

computation of L[!sub]∞[!/sub]-norm; H[!sub]∞[!/sub] control; Multi-input multi-output linear system; quadratic convergence; regularity of singular values; L[!sub]∞[!/sub]-norm; singular values; transfer matrix;

D O I：

10.1016/0167-6911(90)90037-U

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The i-th singular value of a transfer matrix need not be a differentiable function of frequency where its multiplicity is greater than one. We show that near a local maximum, however, the largest singular value has a Lipschitz second derivative, but need not have a third derivative. Using this regularity result, we give a quadratically convergent algorithm for computing the L∞-norm of a transfer matrix. © 1990.

引用

页码：1 / 7

页数：7

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