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- A. Amparan, S. Marcaida, Ion Zaballa
- SIAM J. Control and Optimization
- 2004

The structure of a rational matrix is given by its Smith-McMillan invariants. Some properties of the Smith-McMillan invariants of rational matrices with elements in different principal ideal domains are presented: In the ring of polynomials in one indeterminate (global structure), in the local ring at an irreducible polynomial (local structure), and in the… (More)

- Itziar Baragaña, Victoria Fernández, +11 authors Ana M. Urbano
- 2003

Matrices that preserve the value of the generalized matrix function of the upper triangular matrices Abstract. The aim of this work is to characterize the Hermite indices and the Jordan structure of a pair of matrices (A, B) ∈ F n×n × F n×m under small perturbations. In [2], the topological properties of controllable systems under similarity are studied.… (More)

- A. Amparan, F. M. Dopico, S. Marcaida, I. Zaballa
- 2016

This paper defines for the first time strong linearizations of arbitrary rational matrices, studies in depth properties and different characterizations of such linear matrix pencils, and develops infinitely many examples of strong linearizations that can be explicitly and easily constructed from a minimal state-space realization of the strictly proper part… (More)

- A. Amparan, S. Marcaida, I. Zaballa
- 2012

the invariant factors of its state-space matrix A + BF . This result can be seen as the solution of an inverse problem; that of finding a non-singular polynomial matrix with prescribed in‐ variant factors and left Wiener–Hopf factorization indices at infinity. To see this we recall that the invariant factors form a complete system of invariants for the… (More)

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