SPECTRAL UNMIXING OF CLASSES OF ARBITRARY NONSINGULAR MATRICES

Shi Nung Ching; Edward J. Davison

SPECTRAL UNMIXING OF CLASSES OF ARBITRARY NONSINGULAR MATRICES

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

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
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

Cite this

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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.",

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

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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.

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KW - Control design

KW - Robust control

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JO - IFAC-PapersOnLine

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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

Abstract

Keywords

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