Interlacing inequalities and control theory
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Publication:1121211
DOI10.1016/0024-3795(88)90140-1zbMath0673.93025OpenAlexW2088876089WikidataQ126351650 ScholiaQ126351650MaRDI QIDQ1121211
Publication date: 1988
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0024-3795(88)90140-1
controllability indicesmajorizationinvariant factorsinterlacing inequalitiesstate-feedback equivalence class
Controllability (93B05) Pole and zero placement problems (93B55) Matrices over function rings in one or more variables (15A54) Canonical forms, reductions, classification (15A21)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Matrices with prescribed rows and invariant factors
- Linear multivariable systems
- Interlacing inequalities for invariant factors
- Imbedding conditions for \(\lambda\)-matrices
- Existenzsätze in der Theorie der Matrizen und lineare Kontrolltheorie
- Matrices with prescribed characteristic polynomial and a prescribed submatrix. III
- Invariant Description of Linear, Time-Invariant Controllable Systems
- Inequalities: theory of majorization and its applications