SPECTRAL UNMIXING OF CLASSES OF ARBITRARY NONSINGULAR MATRICES

Shi Nung Ching; Edward J. Davison

doi:10.1016/s1474-6670(17)30446-9

SPECTRAL UNMIXING OF CLASSES OF ARBITRARY NONSINGULAR MATRICES

Shi Nung Ching
, Edward J. Davison

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

1 Scopus citations

Abstract

It has been sliown that for any nonsingular matrix M. there exists a finite set of 'unmixing' matrices S such that at least one member S₁ є S will exhibit the property that M S₁ will be stable, i.e. M S₁ will be a Hurwitz Matrix. The purpose of this note is to construct such a set for the cases n = 2,3 and for the specific case of companion matrices of arbitrary dimension. A direct application of such 'unmixing⁷ matrices is in the construction of adaptive-type controllers using switching controllers.

Original language	English
Pages (from-to)	73-78
Number of pages	6
Journal	IFAC-PapersOnLine
Volume	37
Issue number	21
DOIs	https://doi.org/10.1016/s1474-6670(17)30446-9
State	Published - 2004
Event	2nd IFAC Symposium on System Structure and Control 2004 - Oaxaca, Mexico Duration: Dec 8 2004 → Dec 10 2004

Keywords

Computational algorithms
Control design
Robust control

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10.1016/s1474-6670(17)30446-9

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title = "SPECTRAL UNMIXING OF CLASSES OF ARBITRARY NONSINGULAR MATRICES",

abstract = "It has been sliown that for any nonsingular matrix M. there exists a finite set of 'unmixing' matrices S such that at least one member S1 є S will exhibit the property that M S1 will be stable, i.e. M S1 will be a Hurwitz Matrix. The purpose of this note is to construct such a set for the cases n = 2,3 and for the specific case of companion matrices of arbitrary dimension. A direct application of such 'unmixing7 matrices is in the construction of adaptive-type controllers using switching controllers.",

keywords = "Computational algorithms, Control design, Robust control",

author = "Ching, \{Shi Nung\} and Davison, \{Edward J.\}",

note = "Publisher Copyright: Copyright {\textcopyright} IFAC System, Structure and Control.; 2nd IFAC Symposium on System Structure and Control 2004 ; Conference date: 08-12-2004 Through 10-12-2004",

year = "2004",

doi = "10.1016/s1474-6670(17)30446-9",

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AU - Ching, Shi Nung

AU - Davison, Edward J.

PY - 2004

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N2 - It has been sliown that for any nonsingular matrix M. there exists a finite set of 'unmixing' matrices S such that at least one member S1 є S will exhibit the property that M S1 will be stable, i.e. M S1 will be a Hurwitz Matrix. The purpose of this note is to construct such a set for the cases n = 2,3 and for the specific case of companion matrices of arbitrary dimension. A direct application of such 'unmixing7 matrices is in the construction of adaptive-type controllers using switching controllers.

AB - It has been sliown that for any nonsingular matrix M. there exists a finite set of 'unmixing' matrices S such that at least one member S1 є S will exhibit the property that M S1 will be stable, i.e. M S1 will be a Hurwitz Matrix. The purpose of this note is to construct such a set for the cases n = 2,3 and for the specific case of companion matrices of arbitrary dimension. A direct application of such 'unmixing7 matrices is in the construction of adaptive-type controllers using switching controllers.

KW - Computational algorithms

KW - Control design

KW - Robust control

UR - https://www.scopus.com/pages/publications/85177607983

U2 - 10.1016/s1474-6670(17)30446-9

DO - 10.1016/s1474-6670(17)30446-9

M3 - Conference article

AN - SCOPUS:85177607983

SN - 2405-8971

VL - 37

SP - 73

EP - 78

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

IS - 21

T2 - 2nd IFAC Symposium on System Structure and Control 2004

Y2 - 8 December 2004 through 10 December 2004

ER -

SPECTRAL UNMIXING OF CLASSES OF ARBITRARY NONSINGULAR MATRICES

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Keywords

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