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• W3037221844 abstract "This papers shows that balanced truncation of single-input-single-output systems with $k$-positive Hankel operators is totally positive for any approximation of order up to $k$. The results generalize the fact that balanced truncation of a relaxation system are known to be totally positive for any order ($k=infty$) and extends our preliminary work on first order approximation of internally positive systems to externally (input-output) positive systems ($k=1$)." @default.
• W3037221844 created "2020-07-02" @default.
• W3037221844 creator A5067642477 @default.
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• W3037221844 date "2020-06-23" @default.
• W3037221844 modified "2023-09-27" @default.
• W3037221844 title "Balanced truncation of $k$-positive systems" @default.
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• W3037221844 hasPublicationYear "2020" @default.
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