Block diagonal semistability factors and Lyapunov semistability of block triangular matrices

DOI10.1016/0024-3795(92)90015-3zbMath0756.15025OpenAlexW2039928461MaRDI QIDQ1194505

Dafna Shasha, Daniel Hershkowitz, David H. Carlson

Publication date: 27 September 1992

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

Full work available at URL: https://doi.org/10.1016/0024-3795(92)90015-3

zbMATH Keywords

complex matrixpositive semidefinite Hermitian matricesBlock triangular matricesLyapunov block diagonal stabilityLyapunov diagonal (semi)stabilityLyapunov semistabilitymaximal scaling

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Inequalities involving eigenvalues and eigenvectors (15A42) Stability of solutions to ordinary differential equations (34D20) Conditioning of matrices (15A12)

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Cites Work

• Lyapunov diagonal semistability of real H-matrices
• Maximal Lyapunov scaling factors and their applications in the study of Lyapunov diagonal semistability of block triangular matrices
• Inertia theorems for matrices: the semidefinite case
• Cones, matrices and mathematical programming
• Scalings of vector spaces and the uniqueness of lyapunov scaling factors
• Cones of real positive semidefinite matrices associated with matrix stability
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