On factorizations into coprime parts
نویسندگان
چکیده
منابع مشابه
Recursive computation of coprime factorizations
We propose general computational procedures based on descriptor state-space realizations to compute coprime factorizations of rational matrices with minimum degree denominators. Enhanced recursive pole dislocation techniques are developed, which allow to successively place all poles of the factors into a given “good” domain of the complex plane. The resulting McMillan degree of the denominator ...
متن کاملComputation of Coprime Factorizations of Rational Matrices
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 ...
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A numerically reliable state space algorithm is proposed for computing normalized coprime factorizations of periodic descriptor systems. A preprocessing step is used in the algorithm to convert the initial problem for possibly non-causal systems into a simpler problem for causal periodic systems. The main computational ingredient here is the computation of a coprime factorization with causal fa...
متن کاملOn the existence of approximately coprime factorizations for retarded systems
This note establishes a result linking algebraically coprime factorizations of transfer matrices of delay systems to approximately coprime factorizations in the sense of distributions. The latter have been employed by the second author in the study of function-space controllability for such systems.
متن کاملGeneral Parameterization of Stabilizing Controllers with Coprime Factorizations
This paper is concerned with the factorization approach to control systems. The factorization approach we use here assumes that the plant admits coprime factorizations. On the ohter hand, the set of stable causal transfer functions is a general commutative ring. The objective of this paper is to present that even in the case where the set of stable causal transfer functions is a general commuta...
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ژورنال
عنوان ژورنال: International Journal of Number Theory
سال: 2021
ISSN: 1793-0421,1793-7310
DOI: 10.1142/s1793042121500652