ELA, Volume 15, pp. 107-114, February 2006, abstract.
Linearizations of Polynomial Matrices with Symmetries
and their Applications
Efstathios N. Antoniou and Stavros Vologiannidis
In an earlier paper by the present authors, a new family of
companion forms associated with a regular polynomial matrix
was presented, generalizing similar results by M. Fiedler who
considered the scalar case. This family of companion forms
preserves both the finite and infinite elementary divisor
structure of the original polynomial matrix, thus all its
members can be seen as linearizations of the corresponding
polynomial matrix. In this note, its applications on
polynomial matrices with symmetries, which appear in a
number of engineering fields, are examined.