General statement of structured singular value concepts.

James Krause; Blaise Morton; Dale Enns; Gunter Stein; John Doyle; Andrew Packard

General statement of structured singular value concepts.

James Krause, Blaise Morton, Dale Enns, Gunter Stein, John Doyle, Andrew Packard

Mathematics

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

5 Scopus citations

Abstract

Some key concepts of structured singular value theory for the stability- and performance-robustness analysis of linear time-invariant multivariable systems are stated. Using a set-invariance principle, the theory is then generalized to allow for nonlinear and/or time-varying nominal systems and uncertainties. The general theory is then respecialized to the case of nominally linear time-invariant systems subject to L₂-induced-norm bounded uncertainties.

Original language	English (US)
Pages (from-to)	389-393
Number of pages	5
Journal	Proceedings of the American Control Conference
Volume	88 pt 1-3
State	Published - Dec 1 1988

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AU - Stein, Gunter

AU - Doyle, John

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N2 - Some key concepts of structured singular value theory for the stability- and performance-robustness analysis of linear time-invariant multivariable systems are stated. Using a set-invariance principle, the theory is then generalized to allow for nonlinear and/or time-varying nominal systems and uncertainties. The general theory is then respecialized to the case of nominally linear time-invariant systems subject to L2-induced-norm bounded uncertainties.

AB - Some key concepts of structured singular value theory for the stability- and performance-robustness analysis of linear time-invariant multivariable systems are stated. Using a set-invariance principle, the theory is then generalized to allow for nonlinear and/or time-varying nominal systems and uncertainties. The general theory is then respecialized to the case of nominally linear time-invariant systems subject to L2-induced-norm bounded uncertainties.

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General statement of structured singular value concepts.

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