On Hankel singular values and reflected zeros of linear dynamical systems

Shunsuke Koshita, Masahide Abe, Masayuki Kawamata, Athanasios C. Antoulas

研究成果: Article査読

抄録

This note discusses a relationship between the Hankel singular values and reflected zeros of linear systems. Our main result proves that the Hankel singular values of 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-)half of the complex plane. We also derive a similar result for linear discrete-time systems.

本文言語English
ページ(範囲)641-646
ページ数6
ジャーナルIEEE Transactions on Automatic Control
54
3
DOI
出版ステータスPublished - 2009

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering

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