5 papers
A Local Parametrization of the State-Feedback Matrices in the Pole Assignment Problem
I. Baragaña, F. Puerta, I. Zaballa
Given a controllable system , a local parametrization is obtained for the set of feedback gain matrices such that the state matrix, , of the closed loop system is…
Row completion of polynomial and rational matrices II
Agurtzane Amparan, Itziar Baragaña, Silvia Marcaida +1
We study the row completion problem of polynomial and rational matrices with partial prescription of the structural data. The prescription of the complete structural data has been…
Bounds for the change of the Weyr characteristic of matrix pencils after 1-rank perturbations
Itziar Baragaña, Alicia Roca
The complete characterization of the Kronecker structure of a matrix pencil perturbed by another pencil of rank one is known, and it is stated in terms of very involved conditions.…
Polynomial and rational matrices with the invariant rational functions and the four sequences of minimal indices prescribed
Itziar Baragaña, Froilán M. Dopico, Silvia Marcaida +1
The complete eigenstructure, or structural data, of a rational matrix is comprised by its invariant rational functions, both finite and at infinity, which in turn determine…
Row completion of polynomial and rational matrices
Agurtzane Amparan, Itziar Baragaña, Silvia Marcaida +1
We characterize the existence of a polynomial (rational) matrix when its eigenstructure (complete structural data) and some of its rows are prescribed. For polynomial matrices, thi…