Rational interpolation and state-variable realizations

B. D.O. Anderson; A. C. Antoulas

doi:10.1016/0024-3795(90)90140-8

Rational interpolation and state-variable realizations

B. D.O. Anderson^*
, A. C. Antoulas

^*Corresponding author for this work

School of Engineering

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

71 Citations (Scopus)

Abstract

The problem is considered of passing from interpolation data for a real rational transfer-function matrix to a minimal state-variable realization of the transfer-function matrix. The tool is a Loewner matrix, which is a generalization of the Standard Hankel matrix of linear system realization theory, and which possesses a decomposition into a product of generalized observability and controllability matrices.

Original language	English
Pages (from-to)	479-509
Number of pages	31
Journal	Linear Algebra and Its Applications
Volume	137-138
Issue number	C
DOIs	https://doi.org/10.1016/0024-3795(90)90140-8
Publication status	Published - 1990

Access to Document

10.1016/0024-3795(90)90140-8

Cite this

@article{03397fdc9ee64594b9b4d9548b26060f,

title = "Rational interpolation and state-variable realizations",

abstract = "The problem is considered of passing from interpolation data for a real rational transfer-function matrix to a minimal state-variable realization of the transfer-function matrix. The tool is a Loewner matrix, which is a generalization of the Standard Hankel matrix of linear system realization theory, and which possesses a decomposition into a product of generalized observability and controllability matrices.",

author = "Anderson, \{B. D.O.\} and Antoulas, \{A. C.\}",

year = "1990",

doi = "10.1016/0024-3795(90)90140-8",

language = "English",

volume = "137-138",

pages = "479--509",

journal = "Linear Algebra and Its Applications",

issn = "0024-3795",

publisher = "Elsevier Inc.",

number = "C",

}

TY - JOUR

T1 - Rational interpolation and state-variable realizations

AU - Anderson, B. D.O.

AU - Antoulas, A. C.

PY - 1990

Y1 - 1990

N2 - The problem is considered of passing from interpolation data for a real rational transfer-function matrix to a minimal state-variable realization of the transfer-function matrix. The tool is a Loewner matrix, which is a generalization of the Standard Hankel matrix of linear system realization theory, and which possesses a decomposition into a product of generalized observability and controllability matrices.

AB - The problem is considered of passing from interpolation data for a real rational transfer-function matrix to a minimal state-variable realization of the transfer-function matrix. The tool is a Loewner matrix, which is a generalization of the Standard Hankel matrix of linear system realization theory, and which possesses a decomposition into a product of generalized observability and controllability matrices.

UR - https://www.scopus.com/pages/publications/38249018476

U2 - 10.1016/0024-3795(90)90140-8

DO - 10.1016/0024-3795(90)90140-8

M3 - Article

AN - SCOPUS:38249018476

SN - 0024-3795

VL - 137-138

SP - 479

EP - 509

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

IS - C

ER -

Rational interpolation and state-variable realizations

Abstract

Access to Document

Other files and links

Fingerprint

Cite this