A new realization theory

A realization theory that is based on the Kalman system theory and motivated by the Fuhrmann realization theory is presented. In the Fuhrmann realization theory, the realization state-space is defined by a natural polynomial module K/sub Q/, which is related to a nonsingular polynomial matrix Q. The module K/sub Q/ is formed of all f where Q/sup -1/f is strictly proper. In the realization theory proposed, the realization state-space is defined by a different module M/sub Q/, which is formed of properly truncated, strictly proper formal power series of Q/sup -1/f. The realization theory can be used to prove the dual-realization scheme induced by the Fuhrmann realization theory.<
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