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 |
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Pages (from-to) | 521-540 |
Number of pages | 20 |
Journal | Journal of the Franklin Institute |
Volume | 301 |
Issue number | 6 |
DOIs | |
State | Published - 1 Jan 1976 |
ASJC Scopus subject areas
- Control and Systems Engineering
- Signal Processing
- Computer Networks and Communications
- Applied Mathematics