Rafael Bru, Carmen Coll, and Josep Gelonch, Periodic Coprime Matrix Fraction Decompositions, pp. 44-58

Rafael Bru, Carmen Coll, and Josep Gelonch

A study is presented of right (left) coprime decompositions of a
collection of N-periodic rational matrices, with some ordered structure.
From a block-ordered right coprime decomposition of a rational matrix of
the given periodic collection, the corresponding block-ordered right
coprime decompositions of the remaining matrices of the collection are
constructed. In addition, those decompositions are N-periodic.