منابع مشابه
Minimal Degree Coprime Factorization of Rational Matrices
Given a rational matrix G with complex coefficients and a domain Γ in the closed complex plane, both arbitrary, we develop a complete theory of coprime factorizations of G over Γ, with denominators of McMillan degree as small as possible. The main tool is a general pole displacement theorem which gives conditions for an invertible rational matrix to dislocate by multiplication a part of the pol...
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We propose a numerically reliable state space algorithm for computing coprime factorizations of rational matrices with factors having poles in a given stability domain. The new algorithm is based on a recursive generalized Schur technique for poles dislocation by means of proportional-derivative state feedback. The proposed algorithm is generally applicable regardless the underlying descriptor ...
متن کاملGeneralized Schur Methods to Compute Coprime Factorizations of Rational Matrices
Numerically reliable state space algorithms are proposed for computing the following stable coprime factorizations of rational matrices factorizations with least order denominators factorizations with inner denominators and factorizations with proper stable factors The new algorithms are based on a recursive generalized Schur algorithm for pole assignment They are generally applicable regardles...
متن کاملComputation of Normalized Coprime Factorizations of Rational Matrices
We propose a new computational approach based on descriptor state space algorithms for computing normalized coprime factorizations of arbitrary rational matrices. The proposed approach applies to both continuousand discrete-time rational transfer-function matrices and shows that each rational matrix possesses a normalized coprime factorization with proper factors. The new method is conceptually...
متن کاملOn the Finiteness Property for Rational Matrices
We analyze the periodicity of optimal long products of matrices. A set of matrices is said to have the finiteness property if the maximal rate of growth of long products of matrices taken from the set can be obtained by a periodic product. It was conjectured a decade ago that all finite sets of real matrices have the finiteness property. This conjecture, known as the “finiteness conjecture”, is...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2016
ISSN: 0024-3795
DOI: 10.1016/j.laa.2016.05.030