A note on the nonnegative realization of rational transfer functions
Maria Elena Valcher
Abstract
Maria Elena Valcher
Abstract
In the literature, three different types of nonnegative realization problem have been addressed: the nonnegative realization problem for strictly proper rational functions [L. Benvenuti and L. Farina, 2004], the nonnegative realization problem for autonomous behaviors [J.W. Nieuwenhuis, 1998], [M.E. Valcher, 2001] and the K-realization problem [H. Maeda and S. Kodama, 1981]. In this paper these problems are compared and mutually related, and some results obtained within the behavioral setting are applied to the solution of the nonnegative realization problem for rational functions.
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In the literature, three different types of nonnegative realization problem have been addressed: the nonnegative realization problem for strictly proper rational functions [L. Benvenuti and L. Farina, 2004], the nonnegative realization problem for autonomous behaviors [J.W. Nieuwenhuis, 1998], [M.E. Valcher, 2001] and the K-realization problem [H. Maeda and S. Kodama, 1981]. In this paper these problems are compared and mutually related, and some results obtained within the behavioral setting are applied to the solution of the nonnegative realization problem for rational functions.
Key concepts: Realization (probability), Minimal realization, Mathematics, Rational function, Pure mathematics, Algebra over a field, Applied mathematics, Discrete mathematics