Rational interpolation and state variable realizations

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

doi:10.1109/cdc.1990.203941

Rational interpolation and state variable realizations

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

^*Corresponding author for this work

Research output: Contribution to journal › Conference article › peer-review

2 Citations (Scopus)

Abstract

The authors consider the problem 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)	1865-1870
Number of pages	6
Journal	Proceedings of the IEEE Conference on Decision and Control
Volume	3
DOIs	https://doi.org/10.1109/cdc.1990.203941
Publication status	Published - 1990
Externally published	Yes
Event	Proceedings of the 29th IEEE Conference on Decision and Control Part 6 (of 6) - Honolulu, HI, USA Duration: 5 Dec 1990 → 7 Dec 1990

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10.1109/cdc.1990.203941

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title = "Rational interpolation and state variable realizations",

abstract = "The authors consider the problem 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 = "10.1109/cdc.1990.203941",

language = "English",

volume = "3",

pages = "1865--1870",

journal = "Proceedings of the IEEE Conference on Decision and Control",

issn = "0191-2216",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

note = "Proceedings of the 29th IEEE Conference on Decision and Control Part 6 (of 6) ; Conference date: 05-12-1990 Through 07-12-1990",

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TY - JOUR

T1 - Rational interpolation and state variable realizations

AU - Anderson, B. D.O.

AU - Antoulas, A. C.

PY - 1990

Y1 - 1990

N2 - The authors consider the problem 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 authors consider the problem 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/0025542510

U2 - 10.1109/cdc.1990.203941

DO - 10.1109/cdc.1990.203941

M3 - Conference article

AN - SCOPUS:0025542510

SN - 0191-2216

VL - 3

SP - 1865

EP - 1870

JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

T2 - Proceedings of the 29th IEEE Conference on Decision and Control Part 6 (of 6)

Y2 - 5 December 1990 through 7 December 1990

ER -

Rational interpolation and state variable realizations

Abstract

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