2024-03-29T10:18:40Zhttp://buleria.unileon.es/oai/requestoai:buleria.unileon.es:10612/113482020-12-10T09:00:05Zcom_10612_17col_10612_18
Escuela de Ingenierias Industrial e Informatica
Carriegos Vieira, Miguel
Hermida Alonso, José Ángel
Sáez Schwedt, Andrés
Sánchez Giralda, Tomás
Algebra
2015-10
2019-11-28T14:20:05Z
2019-11-28T14:20:05Z
Linear Algebra and its Applications, 2015, vol. 482
Linear Algebra and its Applications, 2015, vol. 482
Linear Algebra and its Applications, 2015, vol. 482
Linear Algebra and its Applications, 2015, vol. 482
Linear Algebra and its Applications, 2015, vol. 482
Linear Algebra and its Applications, 2015, vol. 482
Linear Algebra and its Applications, 2015, vol. 482
Linear Algebra and its Applications, 2015, vol. 482
0024-3795
https://doi.org/10.1016/j.laa.2015.05.017
http://hdl.handle.net/10612/11348
10.1016/j.laa.2015.05.017
pp. 122-130
If is a finite system over a commutative von Neumann regular ring R, the problem of searching for a matrix F such that the pencil has some prescribed Smith normal form is reduced to the case where R is a field, a problem which for controllable systems is described by a well-known theorem of Rosenbrock on pole assignment [12], and was then generalized to noncontrollable pairs [14]. It this paper, von Neumann regular rings are characterized as the class of commutative rings for which the solution of the above problem over the ring is equivalent to its solution in each residue field.
SI
eng
Elsevier
Matemáticas
Rosenbrock’s theorem
Sistemas sobre anillos conmutativos
Regular rings
1201.01 Geometría Algebraica
Rosenbrock's theorem for systems over von Neumann regular rings
info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
info:eu-repo/semantics/openAccess
Linear Algebra and its Applications
482
122
130