Bounds on generalized structured singular values via the Perron root of matrix majorants

Jie Chen; Carl N. Nett

doi:10.1016/0167-6911(92)90075-4

Bounds on generalized structured singular values via the Perron root of matrix majorants

Jie Chen, Carl N. Nett

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

12 Citations (Scopus)

Abstract

The purpose of this paper is to present several bounds upon the structured singular value. We first adopt a generalized notion of the structured singular value which is useful for problems where uncertainties are assumed to be bounded in an l_p-induced matrix norm. Two different type of bounds, in terms of Perron root and interaction parameters respectively, are given for the new structured singular value and their relations are discussed. These bounds are useful in that they are easy to compute and may be further analyzed to provide insights useful in design. © 1992.

Original language	English
Pages (from-to)	439-449
Journal	Systems and Control Letters
Volume	19
Issue number	6
DOIs	https://doi.org/10.1016/0167-6911(92)90075-4
Publication status	Published - Dec 1992
Externally published	Yes

Research Keywords

block-norm matrix
Perron root
robustness analysis
Structured singular value
uncertainty

Access Output

10.1016/0167-6911(92)90075-4

Other Access Options

Check CityUHK Library

Permanent Link

Right click to copy link

Cite this

@article{47ded2a9c7714853be44e3607dad8b3e,

title = "Bounds on generalized structured singular values via the Perron root of matrix majorants",

abstract = "The purpose of this paper is to present several bounds upon the structured singular value. We first adopt a generalized notion of the structured singular value which is useful for problems where uncertainties are assumed to be bounded in an lp-induced matrix norm. Two different type of bounds, in terms of Perron root and interaction parameters respectively, are given for the new structured singular value and their relations are discussed. These bounds are useful in that they are easy to compute and may be further analyzed to provide insights useful in design. {\textcopyright} 1992.",

keywords = "block-norm matrix, Perron root, robustness analysis, Structured singular value, uncertainty",

author = "Jie Chen and Nett, {Carl N.}",

year = "1992",

month = dec,

doi = "10.1016/0167-6911(92)90075-4",

language = "English",

volume = "19",

pages = "439--449",

journal = "Systems and Control Letters",

issn = "0167-6911",

publisher = "Elsevier B.V.",

number = "6",

}

TY - JOUR

T1 - Bounds on generalized structured singular values via the Perron root of matrix majorants

AU - Chen, Jie

AU - Nett, Carl N.

PY - 1992/12

Y1 - 1992/12

N2 - The purpose of this paper is to present several bounds upon the structured singular value. We first adopt a generalized notion of the structured singular value which is useful for problems where uncertainties are assumed to be bounded in an lp-induced matrix norm. Two different type of bounds, in terms of Perron root and interaction parameters respectively, are given for the new structured singular value and their relations are discussed. These bounds are useful in that they are easy to compute and may be further analyzed to provide insights useful in design. © 1992.

AB - The purpose of this paper is to present several bounds upon the structured singular value. We first adopt a generalized notion of the structured singular value which is useful for problems where uncertainties are assumed to be bounded in an lp-induced matrix norm. Two different type of bounds, in terms of Perron root and interaction parameters respectively, are given for the new structured singular value and their relations are discussed. These bounds are useful in that they are easy to compute and may be further analyzed to provide insights useful in design. © 1992.

KW - block-norm matrix

KW - Perron root

KW - robustness analysis

KW - Structured singular value

KW - uncertainty

UR - http://www.scopus.com/inward/record.url?scp=0026964117&partnerID=8YFLogxK

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-0026964117&origin=recordpage

U2 - 10.1016/0167-6911(92)90075-4

DO - 10.1016/0167-6911(92)90075-4

M3 - RGC 21 - Publication in refereed journal

SN - 0167-6911

VL - 19

SP - 439

EP - 449

JO - Systems and Control Letters

JF - Systems and Control Letters

IS - 6

ER -

Bounds on generalized structured singular values via the Perron root of matrix majorants

Abstract

Research Keywords

Access Output

Other Access Options

Permanent Link

Other Files and Links

Fingerprint

Cite this