Cones of real positive semidefinite matrices associated with matrix stability

DOI10.1080/03081088808817867zbMath0644.15012OpenAlexW2017768192MaRDI QIDQ3786571

Daniel Hershkowitz, Dafna Shasha

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1080/03081088808817867

zbMATH Keywords

Lyapunov stabilitysemistabilitypositive semidefinite matricescones of matricesdiagonal stabilitymatrix stability

Mathematics Subject Classification ID

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) Hermitian, skew-Hermitian, and related matrices (15B57) Algebraic systems of matrices (15A30)

Related Items (4)

On the unique solvability of the Runge-Kutta equations ⋮ Recent directions in matrix stability ⋮ Block diagonal semistability factors and Lyapunov semistability of block triangular matrices ⋮ On cones and stability

Cites Work

• Unnamed Item
• Lyapunov diagonal semistability of real H-matrices
• More on the uniqueness of the Lyapunov scaling factors
• Concerning the interior of the D-stable matrices
• Three types of matrix stability
• Classes of stable and semipositive matrices
• Matrix Diagonal Stability and Its Implications
• Scalings of vector spaces and the uniqueness of lyapunov scaling factors
• Positive diagonal solutions to the Lyapunov equations

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