Singular value assignment

Clyde F. Martin; Xiaochang A. Wang

doi:10.1137/070704915

Singular value assignment

Clyde F. Martin, Xiaochang A. Wang

Mathematics and Statistics

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

1 Scopus citations

Abstract

We give a necessary and sufficient condition for the existence of a matrix F such that the singular values of A + BF are the prescribed values. We also give a simple algorithm to compute F if the prescribed values satisfy the condition.

Original language	English
Pages (from-to)	2388-2406
Number of pages	19
Journal	SIAM Journal on Control and Optimization
Volume	48
Issue number	4
DOIs	https://doi.org/10.1137/070704915
State	Published - 2009

Keywords

Linear discrete systems
Singular value assignment
State feedback

Access to Document

10.1137/070704915

Cite this

@article{72e3cdffa6024949a23362e61b2fe577,

title = "Singular value assignment",

abstract = "We give a necessary and sufficient condition for the existence of a matrix F such that the singular values of A + BF are the prescribed values. We also give a simple algorithm to compute F if the prescribed values satisfy the condition.",

keywords = "Linear discrete systems, Singular value assignment, State feedback",

author = "Martin, {Clyde F.} and Wang, {Xiaochang A.}",

note = "Publisher Copyright: {\textcopyright} 2009 Society for Industrial and Applied Mathematics.",

year = "2009",

doi = "10.1137/070704915",

language = "English",

volume = "48",

pages = "2388--2406",

journal = "SIAM Journal on Control and Optimization",

issn = "0363-0129",

number = "4",

}

TY - JOUR

T1 - Singular value assignment

AU - Martin, Clyde F.

AU - Wang, Xiaochang A.

PY - 2009

Y1 - 2009

N2 - We give a necessary and sufficient condition for the existence of a matrix F such that the singular values of A + BF are the prescribed values. We also give a simple algorithm to compute F if the prescribed values satisfy the condition.

AB - We give a necessary and sufficient condition for the existence of a matrix F such that the singular values of A + BF are the prescribed values. We also give a simple algorithm to compute F if the prescribed values satisfy the condition.

KW - Linear discrete systems

KW - Singular value assignment

KW - State feedback

UR - http://www.scopus.com/inward/record.url?scp=84901233596&partnerID=8YFLogxK

U2 - 10.1137/070704915

DO - 10.1137/070704915

M3 - Article

AN - SCOPUS:84901233596

SN - 0363-0129

VL - 48

SP - 2388

EP - 2406

JO - SIAM Journal on Control and Optimization

JF - SIAM Journal on Control and Optimization

IS - 4

ER -

Singular value assignment

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this