S. Marcaida

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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)
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)
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)
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