RT info:eu-repo/semantics/article
T1 Rosenbrock's theorem for systems over von Neumann regular rings
A1 Carriegos Vieira, Miguel
A1 Hermida Alonso, José Ángel
A1 Sáez Schwedt, Andrés
A1 Sánchez Giralda, Tomás
A2 Algebra
K1 Matemáticas
K1 Rosenbrock’s theorem
K1 Sistemas sobre anillos conmutativos
K1 Regular rings
K1 1201.01 Geometría Algebraica
AB 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.
PB Elsevier
SN 0024-3795
LK http://hdl.handle.net/10612/11348
UL http://hdl.handle.net/10612/11348
NO Linear Algebra and its Applications, 2015, vol. 482
NO pp. 122-130
DS BULERIA. Repositorio Institucional de la Universidad de León
RD 19-abr-2024