A note on stability in model reduction

Amirhossein Yousefi, Boris Lohmann

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

This article considers the problem of instability in similarity transformation-based model reduction methods. Given a stable model G(s) of order n, a general framework is proposed that parameterises a large set of stable reduced models of order k n that each can be obtained by truncating a realisation of G(s). As an application of this result it is shown how different reduction methods can be modified, if they fail to maintain stability.

Original languageEnglish
Pages (from-to)297-307
Number of pages11
JournalInternational Journal of Systems Science
Volume40
Issue number3
DOIs
StatePublished - Mar 2009

Keywords

  • Lyapunov equation
  • Model reduction
  • Stability

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