Linear Matrix Equations Controllability and Observability, and the Rank of Solutions

DOI10.1137/0609047zbMath0665.93003OpenAlexW2026760829MaRDI QIDQ3818177

Harald K. Wimmer

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1137/0609047

zbMATH Keywords

Lyapunov equationscomplex matrix equation

Mathematics Subject Classification ID

Controllability (93B05) Matrix equations and identities (15A24) Observability (93B07)

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Computational Methods for Linear Matrix Equations, Linear matrix equations: The module theoretic approach, Some open problems in matrix theory arising in linear systems and control, The quaternion matrix equation ΣA i XB i =E, On the numerical solution of \(AX-XB=C\), Generalized Lyapunov equations, matrices with displacement structure, and generalized Bézoutians, Minimal representations of inverted Sylvester and Lyapunov operators