A realization theorem for rational functions of several complex variables

D. Alpay, C. Dubi

Research output: Contribution to journalArticlepeer-review

32 Scopus citations

Abstract

Proof for a realization theorem for rational functions of several complex variables was presented. The theorem states that a matrix-valued rational function F(z) analytic in a neighbourhood of the origin can be written as: F(z) = D + C(In - zA)-1zB, where D = F(0) and A, B and C are matrices of appropriate sizes. This representation allows to consider F as the transfer function of a linear system.

Original languageEnglish
Pages (from-to)225-229
Number of pages5
JournalSystems and Control Letters
Volume49
Issue number3
DOIs
StatePublished - 5 Jul 2003

Keywords

  • Multi-indexed systems
  • Realization theory

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science (all)
  • Mechanical Engineering
  • Electrical and Electronic Engineering

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