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AEWJTRACT: A systematic dtwelopm&nt of the realization theory of Jinite dimensional constant linear systems ie presented which eynthexizes the various currently available approaches. Baaed on representation theorema for submodules and quotient modules of spaces of polynomial matrices and vectora, thi8 paper combines the abstract algebraic ideas centering around module theory, the we of coprinw factorizations of rational transfer functions and state space equations into a unijkd theory.

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