Dynamic feedback over principal ideal domains and quotient rings |
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Authors: | J.A. Hermida Alonso,M.M. Ló pez-Cabeceira |
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Affiliation: | Departamento de Matemáticas, Universidad de León, 24071 León, Spain |
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Abstract: | Let R be a principal ideal domain. In this paper we prove that, for a large class of linear systems, dynamic feedback over R is equivalent to static feedback over a quotient ring of R. In particular, when R is the ring of integers Z one has that the static feedback classification problem over finite rings is equivalent to the dynamic feedback classification problem over Z restricted to a special type of system. |
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Keywords: | 93B25 93B52 13F99 |
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