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

A.I.G. Vardulakis, N.P. Karampetakis, E.N. Antoniou
2007 2007 European Control Conference (ECC)   unpublished
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
more » ... and the associated concepts of dynamic and non-dynamic variables appearing in generalized state space realizations are also examined.
doi:10.23919/ecc.2007.7068426 fatcat:mywu36rm7vbp7jebxwdiojfqum