Sufficient Conditions on Commutators for a Pair of Stable Matrices to Have a Common Solution to the Lyapunov Equation

DOI10.1137/070695289zbMath1202.15018OpenAlexW2062894022MaRDI QIDQ3053133

Helena Šmigoc, Thomas J. Laffey

Publication date: 4 November 2010

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/070695289

zbMATH Keywords

Lyapunov matrix equationcommutatorsstability theoryswitched linear systemsrepresentation theory of algebrascommon quadratic Lyapunov functionsimultaneous triangularizabilityregular inertiamixed inertia

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Linear transformations, semilinear transformations (15A04) Canonical forms, reductions, classification (15A21)

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