On Hankel singular values and reflected zeros of linear dynamical systems

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

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish
Pages (from-to)641-646
Number of pages6
JournalIEEE Transactions on Automatic Control
Volume54
Issue number3
DOIs
Publication statusPublished - 2009

Keywords

  • Hankel singular values
  • Linear continuous-time system
  • Linear discrete-time system
  • Reflected zeros

ASJC Scopus subject areas

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

Fingerprint Dive into the research topics of 'On Hankel singular values and reflected zeros of linear dynamical systems'. Together they form a unique fingerprint.

Cite this