Inertia theorems for pairs of matrices.

DOI10.1016/j.laa.2003.11.022zbMath1060.93071OpenAlexW4206103187MaRDI QIDQ1430371

Cristina Ferreira, Fernando Conceição Silva

Publication date: 27 May 2004

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

Full work available at URL: https://doi.org/10.1016/j.laa.2003.11.022

zbMATH Keywords

controllabilityHermitian matricesLyapunov stabilityLyapunov inequalityinertia of matrices

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Inequalities involving eigenvalues and eigenvectors (15A42) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (2)

Inertia theorems for pairs of matrices. II. ⋮ On the stabilization of linear discrete-time systems

Cites Work

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• Interlacing inequalities and control theory
• Interlacing and majorization in invariant factor assignment problems
• Some theorems on the inertia of general matrices
• Interlacing inequalities for invariant factors
• Imbedding conditions for \(\lambda\)-matrices
• An inertia theorem for Lyapunov's equation and the dimension of a controllability space
• Existenzsätze in der Theorie der Matrizen und lineare Kontrolltheorie
• Inertia theorems for matrices, controllability, and linear vibrations
• Column completion of a pair of matrices
• A Generalization of a Theorem of Lyapunov
• A Generalization of the Inertia Theorem

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