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Paper details
Number 1 - March 2009
Volume 19 - 2009
On the realization theory of polynomial matrices and the algebraic structure of pure generalized state space systems
Antonis - Ioannis G. Vardulakis, Nicholas P. Karampetakis, Efstathios N. Antoniou, Evangelia Tictopoulou
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.
Keywords
polynomial matrices, realization theory, minimality, irreducibility, generalized state space, infinite decoupling zeros