On common diagonal Lyapunov solutions

DOI10.1016/j.laa.2016.05.032zbMath1382.93029OpenAlexW2441279014MaRDI QIDQ306423

Jianhong Xu, Mehmet Gumus

Publication date: 31 August 2016

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

Full work available at URL: https://doi.org/10.1016/j.laa.2016.05.032

zbMATH Keywords

Lyapunov equationSchur complement\(P\)-matrixdiagonal Lyapunov solutiondiagonal stabilitynegative (positive) definite matrix

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Stability of solutions to ordinary differential equations (34D20) Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48) Miscellaneous inequalities involving matrices (15A45)

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