Frequency-domain reduction of linear systems using Schwarz approximation

T. Nigel Lucas, A. M. Davidson

    Research output: Contribution to journalArticlepeer-review

    19 Citations (Scopus)


    A frequency domain approach for reducing linear, time-invariant systems is presented which produces stable approximations of stable systems. The method is based upon the Schwarz canonical form and is shown to have a continued-fraction representation. A link between this method and the popular Routh approximation is also given. Further, the Schwarz approximation is combined with a moments-matching technique to improve steady-state responses to step and polynomial inputs. Examples are given to illustrate the methods.
    Original languageEnglish
    Pages (from-to)1167-1178
    Number of pages12
    JournalInternational Journal of Control
    Issue number5
    Publication statusPublished - 1983


    • Linear systems


    Dive into the research topics of 'Frequency-domain reduction of linear systems using Schwarz approximation'. Together they form a unique fingerprint.

    Cite this