Matrix-fraction description from frequency samples

D. W. Richardson; B. D.O. Anderson; N. K. Bose

doi:10.1016/0024-3795(93)90034-L

Matrix-fraction description from frequency samples

D. W. Richardson^*, B. D.O. Anderson, N. K. Bose

^*Corresponding author for this work

School of Engineering

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

It is shown how the controllability indices in a minimal state-space realization of a real rational transfer matrix may be calculated from evaluations of this transfer matrix at a sufficient number of discrete points in the frequency domain. Subsequently a procedure for obtaining coprime matrix-fraction descriptions of the transfer matrix is given. An example is used to illustrate the results.

Original language	English
Pages (from-to)	251-268
Number of pages	18
Journal	Linear Algebra and Its Applications
Volume	181
Issue number	C
DOIs	https://doi.org/10.1016/0024-3795(93)90034-L
Publication status	Published - 1 Mar 1993

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10.1016/0024-3795(93)90034-L

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title = "Matrix-fraction description from frequency samples",

abstract = "It is shown how the controllability indices in a minimal state-space realization of a real rational transfer matrix may be calculated from evaluations of this transfer matrix at a sufficient number of discrete points in the frequency domain. Subsequently a procedure for obtaining coprime matrix-fraction descriptions of the transfer matrix is given. An example is used to illustrate the results.",

author = "Richardson, {D. W.} and Anderson, {B. D.O.} and Bose, {N. K.}",

year = "1993",

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doi = "10.1016/0024-3795(93)90034-L",

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T1 - Matrix-fraction description from frequency samples

AU - Richardson, D. W.

AU - Anderson, B. D.O.

AU - Bose, N. K.

PY - 1993/3/1

Y1 - 1993/3/1

N2 - It is shown how the controllability indices in a minimal state-space realization of a real rational transfer matrix may be calculated from evaluations of this transfer matrix at a sufficient number of discrete points in the frequency domain. Subsequently a procedure for obtaining coprime matrix-fraction descriptions of the transfer matrix is given. An example is used to illustrate the results.

AB - It is shown how the controllability indices in a minimal state-space realization of a real rational transfer matrix may be calculated from evaluations of this transfer matrix at a sufficient number of discrete points in the frequency domain. Subsequently a procedure for obtaining coprime matrix-fraction descriptions of the transfer matrix is given. An example is used to illustrate the results.

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U2 - 10.1016/0024-3795(93)90034-L

DO - 10.1016/0024-3795(93)90034-L

M3 - Article

AN - SCOPUS:44949266836

SN - 0024-3795

VL - 181

SP - 251

EP - 268

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

IS - C

ER -

Matrix-fraction description from frequency samples

Abstract

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