We analyse and construct the matrix-valued proper rational solutions of the tangential interpolation problem. We show how the coprime polynomial factorization of the solutions is tightly connected to the controllability indices of a pair (A,[U,V]) associated with the interpolation data and that coprimeness of these factorizations is guaranteed by a simple condition on the eigenvectors of A.
On multivariable proper rational interpolation using coprime factors
Andrea Gombani
2018
Abstract
We analyse and construct the matrix-valued proper rational solutions of the tangential interpolation problem. We show how the coprime polynomial factorization of the solutions is tightly connected to the controllability indices of a pair (A,[U,V]) associated with the interpolation data and that coprimeness of these factorizations is guaranteed by a simple condition on the eigenvectors of A.File in questo prodotto:
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