Minimal Positive Realizations for a Class of Transfer Functions

Andrea Halmschlager, Mate Matolcsi

Research output: Contribution to journalArticle

12 Citations (Scopus)


It is a standard result in linear-system theory that an nth-order rational transfer function of a single-input single-output system always admits a realization of order n. In some applications, however, one is restricted to realizations with nonnegative entries (i.e. a positive system), and it is known that this restriction may force the order N of realizations to be strictly larger than n. In this brief we present a class of transfer functions where positive realizations of order n do exist. With the help of our result we give improvements on some earlier results in positive-system theory.

Original languageEnglish
Pages (from-to)177-180
Number of pages4
JournalIEEE Transactions on Circuits and Systems II: Express Briefs
Issue number4
Publication statusPublished - Apr 5 2005



  • Discrete time filtering
  • minimal realizations
  • positive linear systems

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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