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

Antonis-Ioannis Vardulakis; Nicholas Karampetakis; Efstathios Antoniou; Evangelia Tictopoulou

doi:10.2478/v10006-009-0007-5

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

International Journal of Applied Mathematics and Computer Science

Volume 19 (2009): Issue 1 (March 2009)

By: Antonis-Ioannis Vardulakis, Nicholas Karampetakis, Efstathios Antoniou and Evangelia Tictopoulou

Open Access

|Apr 2009

Abstract

We review the realization theory of polynomial (transfer function) matrices via "pure" generalized state space system models. The concept of an irreducible-at-infinity generalized state space realization of a polynomial matrix is defined and the mechanism of the "cancellations" of "decoupling zeros at infinity" is closely examined. The difference between the concepts of irreducibility and minimality of generalized state space realizations of polynomial (transfer function) matrices is pointed out and the associated concepts of dynamic and non-dynamic variables appearing in generalized state space realizations are also examined.

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Articles in this issue

DOI: https://doi.org/10.2478/v10006-009-0007-5 | Journal eISSN: 2083-8492 | Journal ISSN: 1641-876X

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Language: English

Page range: 77 - 88

Published on: Apr 2, 2009

Published by: University of Zielona Góra

In partnership with: Paradigm Publishing Services

Publication frequency: 4 issues per year

Keywords:

generalized state space,

infinite decoupling zeros

Related subjects:

Mathematics,

Applied mathematics

© 2009 Antonis-Ioannis Vardulakis, Nicholas Karampetakis, Efstathios Antoniou, Evangelia Tictopoulou, published by University of Zielona Góra
This work is licensed under the Creative Commons License.

Volume 19 (2009): Issue 1 (March 2009)