The Lyapunov order for real matrices

DOI10.1016/j.laa.2008.10.020zbMath1166.15010OpenAlexW2031866885MaRDI QIDQ1006035

Izchak Lewkowicz, Nir Cohen

Publication date: 17 March 2009

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

Full work available at URL: https://doi.org/10.1016/j.laa.2008.10.020

zbMATH Keywords

controllabilityinvariant subspaceconvex coneLyapunov matrix equationPick matrixLyapunov operatorNevanlinna-Pick interpolationconvex invertible coneregular inertia

Mathematics Subject Classification ID

Controllability (93B05) Positive matrices and their generalizations; cones of matrices (15B48) Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Ordered rings, algebras, modules (06F25)

Related Items (6)

A Hill-Pick matrix criterion for the Lyapunov order ⋮ An easy-to-compute factorization of rational generalized positive functions ⋮ Absolute continuity, interpolation and the Lyapunov order ⋮ The positive real lemma and construction of all realizations of generalized positive rational functions ⋮ The convex invertible cone structure of positive real odd rational matrix functions ⋮ Common Lyapunov solutions for two matrices whose difference has rank one

Uses Software

• mftoolbox

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