A Simple Method for Deriving J-Spectral Factors

U. Shaked; I. Yaesh

doi:10.1109/9.256355

A Simple Method for Deriving J-Spectral Factors

U. Shaked, I. Yaesh

School of Electrical Engineering

Tel Aviv University

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

6 Scopus citations

Abstract

A simple method is presented for deriving the J-spectra factor of a transfer function matrix explicitly in terms of the parameter; of this matrix. This method provides closed-form expressions for the J-spectral factor and its inverse which only require a solution of a single linear Sylvester equation. This method can be easily applied in the solution of the H_∞-optimal regulation problem and it provides a useful geometric insight to the structure of the optimal regulator return difference matrix.

Original language	English
Pages (from-to)	891-895
Number of pages	5
Journal	IEEE Transactions on Automatic Control
Volume	37
Issue number	6
DOIs	https://doi.org/10.1109/9.256355
State	Published - Jun 1992

Access to Document

10.1109/9.256355

Cite this

@article{4ccb9dc789554041a0d7e1dbd2c42597,

title = "A Simple Method for Deriving J-Spectral Factors",

abstract = "A simple method is presented for deriving the J-spectra factor of a transfer function matrix explicitly in terms of the parameter; of this matrix. This method provides closed-form expressions for the J-spectral factor and its inverse which only require a solution of a single linear Sylvester equation. This method can be easily applied in the solution of the H∞-optimal regulation problem and it provides a useful geometric insight to the structure of the optimal regulator return difference matrix.",

author = "U. Shaked and I. Yaesh",

year = "1992",

month = jun,

doi = "10.1109/9.256355",

language = "אנגלית",

volume = "37",

pages = "891--895",

journal = "IEEE Transactions on Automatic Control",

issn = "0018-9286",

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

number = "6",

}

TY - JOUR

T1 - A Simple Method for Deriving J-Spectral Factors

AU - Shaked, U.

AU - Yaesh, I.

PY - 1992/6

Y1 - 1992/6

N2 - A simple method is presented for deriving the J-spectra factor of a transfer function matrix explicitly in terms of the parameter; of this matrix. This method provides closed-form expressions for the J-spectral factor and its inverse which only require a solution of a single linear Sylvester equation. This method can be easily applied in the solution of the H∞-optimal regulation problem and it provides a useful geometric insight to the structure of the optimal regulator return difference matrix.

AB - A simple method is presented for deriving the J-spectra factor of a transfer function matrix explicitly in terms of the parameter; of this matrix. This method provides closed-form expressions for the J-spectral factor and its inverse which only require a solution of a single linear Sylvester equation. This method can be easily applied in the solution of the H∞-optimal regulation problem and it provides a useful geometric insight to the structure of the optimal regulator return difference matrix.

UR - http://www.scopus.com/inward/record.url?scp=0026881883&partnerID=8YFLogxK

U2 - 10.1109/9.256355

DO - 10.1109/9.256355

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:0026881883

SN - 0018-9286

VL - 37

SP - 891

EP - 895

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

IS - 6

ER -

A Simple Method for Deriving J-Spectral Factors

Abstract

Access to Document

Other files and links

Fingerprint

Cite this