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A new realization theory

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1 Author(s)
Zhang, S.-Y. ; Brookhaven Nat. Lab., Upton, NY, USA

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 KQ, which is related to a nonsingular polynomial matrix Q. The module KQ is formed of all f where Q-1f is strictly proper. In the realization theory proposed, the realization state-space is defined by a different module MQ, which is formed of properly truncated, strictly proper formal power series of Q-1f. The realization theory can be used to prove the dual-realization scheme induced by the Fuhrmann realization theory

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Automatic Control, IEEE Transactions on  (Volume:33 ,  Issue: 7 )