On Hankel Singular Values and Reflected Zeros of Linear Dynamical Systems

被引：1

作者：

Koshita, Shunsuke ^{[1
]}

Abe, Masahide ^{[1
]}

Kawamata, Masayuki ^{[1
]}

Antoulas, Athanasios C. ^{[2
]}

机构：

[1] Tohoku Univ, Dept Elect Engn, Grad Sch Engn, Sendai, Miyagi 9808579, Japan

[2] Rice Univ, Dept Elect & Comp Engn, Houston, TX 77251 USA

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2009年 / 54卷 / 03期

基金：

美国国家科学基金会;

关键词：

Hankel singular values; linear continuous-time system; linear discrete-time system; reflected zeros; BOUNDED-REAL LEMMA; MODEL-REDUCTION; DIGITAL-FILTERS; ROUNDOFF NOISE; ERROR-BOUNDS; NORM;

D O I：

10.1109/TAC.2008.2009687

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This note discusses a relationship between the Hankel singular values and reflected zeros of linear systems. Our main result proves that the Henkel singular values or a linear continuous-time system increase (decrease) pointwise when one or more zeros of the transfer function are reflected with respect to the Imaginary axis, that Is, move from the left-(right)half to the right-(left-)hair of the complex plane. We also derive a similar result for linear discrete-time systems.

引用

页码：641 / 646

页数：6

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