Creator:

Vardulakis, Antonis-Ioannis G. ; Karampetakis, Nicholas P. ; Antoniou, Efstathios N. ; Tictopoulou, Evangelia

Contributor:

Korbicz, Józef (1951- ) - ed.

Title:

On the realization theory of polynomial matrices and the algebraic structure of pure generalized state space systems

Group publication title:

AMCS, volume 19 (2009)

Subject and Keywords:

polynomial matrices ; realization theory ; minimality ; irreducibility ; generalized state space ; infinite decoupling zeros

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 "minimalisty" 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.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

2009

Resource Type:

artykuł

DOI:

10.2478/v10006-009-0007-5

Pages:

77-88

Source:

AMCS, volume 19, number 1 (2009) ; click here to follow the link

Language:

eng

License CC BY 4.0:

click here to follow the link

Rights:

Biblioteka Uniwersytetu Zielonogórskiego