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Abstract: An algorithm is described for extracting a polynomial matrix factor featuring any subset of the zeros of a given non-singular polynomial matrix. It is assumed that the zeros to be extracted are given as input data. Complex or repeated zeros are allowed. The algorithm is based on interpolation and relies upon numerically reliable subroutines only. It makes use of a procedure that computes the generalized characteristic vectors of a polynomial matrix at a given point. The extracted factor is... (Update)
Context of citations to this paper: More
.... to the technique recently proposed in [10] The algorithm described in this paper in an extension of a method recently proposed in [11] to compute and extract the finite structure of a polynomial matrix. The algorithm is designed while keeping with our main impetus,...
...Toeplitz matrices built from the Laurent expansion. The algorithm described in this paper in an extension of a method recently proposed in [9] to compute and extract the finite structure of a polynomial matrix. The algorithm is designed while keeping with our main impetus, which...
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BibTeX entry: (Update)
D. Henrion and M. Sebek, "An Algorithm for Polynomial Matrix Factor Extraction", to appear in International Journal of Control, 2000. http://citeseer.ist.psu.edu/henrion00algorithm.html More
@misc{ henrion00algorithm,
author = "D. Henrion and M. Sebek",
title = "An Algorithm for Polynomial Matrix Factor Extraction",
text = "D. Henrion and M. Sebek, An Algorithm for Polynomial Matrix Factor Extraction,
to appear in International Journal of Control, 2000.",
year = "2000",
url = "citeseer.ist.psu.edu/henrion00algorithm.html" }
Citations (may not include all citations):624 The Algebraic Eigenvalue Problem (context) - Wilkinson - 1965
216 Linear Systems (context) - Kailath - 1980
33 Control of Uncertain Systems -- A Linear Programming Approac.. (context) - Dahleh, Diaz-Bobillo - 1995
25 Analysis and Design of Discrete Linear Control Systems (context) - Kucera - 1991
12 Polynomial and Rational Matrix Interpolation : Theory and Co.. (context) - Antsaklis, Gao - 1993
11 Matrix Computations - Third Edition (context) - Golub, Van Loan - 1996
9 Polynomial J-Spectral Factorization (context) - Kwakernaak, Sebek - 1994
4 Robust Control and H1 Optimization -- Tutorial Paper (context) - Kwakernaak - 1993
4 New Algorithms for Polynomial Matrices used in the Polynomia.. (context) - Sebek, Henrion et al. - 1998
1 Linear System Theory and Design - Second Edition (context) - Chen - 1984
1 On Deadbeat Controllers (context) - Kucera, Sebek - 1984
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