Algebraic system theory: an analyst's point of view

Paul A. Fuhrmann

doi:10.1016/0016-0032(76)90076-4

Algebraic system theory: an analyst's point of view

Paul A. Fuhrmann

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

137 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 language	English
Pages (from-to)	521-540
Number of pages	20
Journal	Journal of the Franklin Institute
Volume	301
Issue number	6
DOIs	https://doi.org/10.1016/0016-0032(76)90076-4
State	Published - 1 Jan 1976

ASJC Scopus subject areas

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

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10.1016/0016-0032(76)90076-4

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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.",

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AB - 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.

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Algebraic system theory: an analyst's point of view

Abstract

ASJC Scopus subject areas

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