Hilbert-Schmidt-Hankel norm model reduction for matrix second-order linear systems

Qing Wang, Tongke Zhong, Ngai Wong, Qingyang Wang

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


This paper considers the optimal model reduction problem of matrix second-order linear systems in the sense of Hilbert-Schmidt-Hankel norm, with the reduced order systems preserving the structure of the original systems. The expressions of the error function and its gradient are derived. Two numerical examples are given to illustrate the presented model reduction technique.

Original languageEnglish
Pages (from-to)571-578
Number of pages8
JournalJournal of Control Theory and Applications
Issue number4
Publication statusPublished - Nov 2011
Externally publishedYes


  • Gradient
  • Hilbert-Schmidt-Hankel norm
  • Matrix second-order linear system
  • Model reduction

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Hardware and Architecture
  • Computer Science Applications


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