Matrix Fraction Description of the Lossless Positive Real Property

Robert R. Bitmead; Brian D.O. Anderson

doi:10.1109/TCS.1977.1084270

Matrix Fraction Description of the Lossless Positive Real Property

Robert R. Bitmead
, Brian D.O. Anderson

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

6 Citations (Scopus)

Abstract

Suppose a matrix fraction description of a real rational square transfer function matrix is known. A condition is given involving the coefficient matrices in this matrix fraction decomposition which is necessary and sufficient for the transfer function matrix to be lossless positive real.

Original language	English
Pages (from-to)	546-550
Number of pages	5
Journal	IEEE Transactions on Circuits and Systems
Volume	24
Issue number	10
DOIs	https://doi.org/10.1109/TCS.1977.1084270
Publication status	Published - Oct 1977
Externally published	Yes

Access to Document

10.1109/TCS.1977.1084270

Cite this

@article{13e3017a68fe4d8da26e44327730938c,

title = "Matrix Fraction Description of the Lossless Positive Real Property",

abstract = "Suppose a matrix fraction description of a real rational square transfer function matrix is known. A condition is given involving the coefficient matrices in this matrix fraction decomposition which is necessary and sufficient for the transfer function matrix to be lossless positive real.",

author = "Bitmead, \{Robert R.\} and Anderson, \{Brian D.O.\}",

year = "1977",

month = oct,

doi = "10.1109/TCS.1977.1084270",

language = "English",

volume = "24",

pages = "546--550",

journal = "IEEE Transactions on Circuits and Systems",

issn = "0098-4094",

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

number = "10",

}

TY - JOUR

T1 - Matrix Fraction Description of the Lossless Positive Real Property

AU - Bitmead, Robert R.

AU - Anderson, Brian D.O.

PY - 1977/10

Y1 - 1977/10

N2 - Suppose a matrix fraction description of a real rational square transfer function matrix is known. A condition is given involving the coefficient matrices in this matrix fraction decomposition which is necessary and sufficient for the transfer function matrix to be lossless positive real.

AB - Suppose a matrix fraction description of a real rational square transfer function matrix is known. A condition is given involving the coefficient matrices in this matrix fraction decomposition which is necessary and sufficient for the transfer function matrix to be lossless positive real.

UR - https://www.scopus.com/pages/publications/0017541953

U2 - 10.1109/TCS.1977.1084270

DO - 10.1109/TCS.1977.1084270

M3 - Article

AN - SCOPUS:0017541953

SN - 0098-4094

VL - 24

SP - 546

EP - 550

JO - IEEE Transactions on Circuits and Systems

JF - IEEE Transactions on Circuits and Systems

IS - 10

ER -

Matrix Fraction Description of the Lossless Positive Real Property

Abstract

Access to Document

Other files and links

Fingerprint

Cite this