Algebraic system theory: an analyst's point of view

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134 Scopus citations

Abstract

A systematic development of the realization theory of finite dimensional constant linear systems is presented which synthesizes the various currently available approaches. Based on representation theorems for submodules and quotient modules of spaces of polynomial matrices and vectors, this paper combines the abstract algebraic ideas centering around module theory, the use of coprime factorizations of rational transfer functions and state space equations into a unified theory.

Original languageEnglish
Pages (from-to)521-540
Number of pages20
JournalJournal of the Franklin Institute
Volume301
Issue number6
DOIs
StatePublished - 1 Jan 1976

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Signal Processing
  • Computer Networks and Communications
  • Applied Mathematics

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