An alternative proof of the Barker, Berman, Plemmons (BBP) result on diagonal stability and extensions

DOI10.1016/j.laa.2008.06.037zbMath1149.93025OpenAlexW2076534827MaRDI QIDQ957992

Oliver Mason, Christopher K. King, Robert N. Shorten

Publication date: 2 December 2008

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2008.06.037

zbMATH Keywords

diagonal stabilitycommon quadratic Lyapunov functionscopositive diagonal Lyapunov functions

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Linear systems in control theory (93C05) Control/observation systems governed by ordinary differential equations (93C15)

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Cites Work

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• The \(\alpha\)-scalar diagonal stability of block matrices
• On the existence of a common quadratic Lyapunov function for a rank one difference
• An iterative method of Lyapunov function construction for differential inclusions
• A characterization of Lyapunov diagonal stability using Hadamard products
• Volterra Multipliers I
• Volterra Multipliers II
• Matrix Analysis
• Positive diagonal solutions to the Lyapunov equations
• Variational Analysis

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