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

70 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

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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.}",

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AU - Antoulas, A. C.

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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.

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

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

M3 - Article

AN - SCOPUS:38249018476

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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

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