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Realizations of Systems with Point Delays

Manuel De la Sen and Raul Nistal
University of the Basque Country/IIDP, Bilbao, Spain
Abstract—Results on realization theory of dynamic linear systems with lags are obtained through Laurent series expansions. The results are related to controllability and observability properties as well as to mismatching among a real transfer matrix and its nominal version For this purpose, an infinite polynomial block Hankel matrix and associate τ -finite polynomial block matrices are defined in order to relate the spectral controllability and observability properties of minimal realizations with the minimum feasible finite rank of such a Hankel matrix.

Index Terms—realization theory, Hankel matrices, delays

Cite: Manuel De la Sen and Raul Nistal, "Realizations of Systems with Point Delays," International Journal of Signal Processing Systems, Vol. 2, No. 2, pp. 149-154, December 2014. doi: 10.12720/ijsps.2.2.149-154
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