Rational and polynomial matrix factorizations via recursive pole-zero cancellation
TLDR
In this article, a recursive algorithm for obtaining factorizations of the type ======R(λ)=R1(λ)R2(λ), where all three matrices are rational and R 1 (λ) is nonsingular, is presented.About:
This article is published in Linear Algebra and its Applications.The article was published on 1990-08-01 and is currently open access. It has received 47 citations till now. The article focuses on the topics: Factorization & Polynomial matrix.read more
Citations
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Journal ArticleDOI
Computation of general inner-outer and spectral factorizations
Cristian Oara,Andras Varga +1 more
TL;DR: This paper solves two problems in linear systems theory: the computation of the inner-outer and spectral factorizations of a continuous-time system considered in the most general setting and the extension to the case of rational matrices of the complete orthogonal decomposition of a constant matrix.
Journal ArticleDOI
Robust fault detection in descriptor linear systems via generalized unknown input observers
TL;DR: By combining the parameterizations of the observer eigenvectors and an established condition for disturbance decoupling in descriptor linear systems, the effect of the disturbance to the residual signal is decoupled.
Journal ArticleDOI
Vector ARMA estimation: a reliable subspace approach
TL;DR: A parameter estimation method for finite-dimensional multivariate linear stochastic systems, which is guaranteed to produce valid models approximating the true underlying system in a computational time of a polynomial order in the system dimension, is presented.
Journal ArticleDOI
Minimal Degree Coprime Factorization of Rational Matrices
Cristian Oara,Andras Varga +1 more
TL;DR: A general pole displacement theorem is applied to obtain the parametrized class of all coprime factorizations over $\Gamma$ with denominators of minimal McMillan degree nb, which gives conditions for an invertible rational matrix to dislocate by multiplication a part of the poles of G.
Journal ArticleDOI
Computation of coprime factorizations of rational matrices
TL;DR: The proposed algorithms are useful in solving various computational problems for both standard and descriptor system representations, and generally applicable whether the underlying descriptor state-space representation is minimal or not, and whether it is stabilizable/detectable or not.
References
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Proceedings ArticleDOI
State-space solutions to standard H 2 and H ∞ control problems
TL;DR: In this article, simple state-space formulas are presented for a controller solving a standard H∞-problem, where the controller has the same state-dimension as the plant, its computation involves only two Riccati equations, and it has a separation structure reminiscent of classical LQG theory.
Book
Control System Synthesis : A Factorization Approach
TL;DR: In this article, the stable factorization approach is introduced to the synthesis of feedback controllers for linear control systems, where the controller is designed as a matrix over a fraction field associated with a commutative ring with identity, denoted by R, which also has no divisors of zero.