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Δημοσιεύσεις μελών--ΣΤΕΦ--Τμήμα Μηχανικών Πληροφορικής, 2009We review the realization theory of polynomial (transfer function) matrices via “pure” generalized state space systemmodels. The concept of an irreducible-at-infinity generalized state space realization of a polynomial matrix is defined andthe mechanism of the “cancellations” of “decoupling zeros at infinity” is closely examined. The difference between theconcepts of irreducibility and minimality of generalized state space realizations of polynomial (transfer function) matricesis pointed out and the associated concepts of dynamic and non-dynamic variables appearing in generalized state spacerealizations are also examine

On the Realization Theory of Polynomial Matrices and the Algebraic Structure of Pure Generalized State Space Systems