The change of feedback invariants under one row perturbation

DOI10.1016/j.laa.2006.11.017zbMath1117.15009OpenAlexW1994795194MaRDI QIDQ875011

Marija Dodig, Marko Stošić

Publication date: 10 April 2007

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

Full work available at URL: https://doi.org/10.1016/j.laa.2006.11.017

zbMATH Keywords

PerturbationsMajorizationRow completions

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Canonical forms, reductions, classification (15A21)

Related Items (7)

Canonical form associated with the problem of perturbation of one column of a controllable pair ⋮ The change of similarity invariants under row perturbations: Generic cases ⋮ The change of similarity invariants under row perturbations ⋮ The rank distance problem for pairs of matrices and a completion of quasi-regular matrix pencils ⋮ The change of feedback invariants under column perturbations: particular cases ⋮ Structured perturbation of the Brunovsky form: a particular case ⋮ The change of the Brunovsky structure of a controllable pair under one column perturbation in a particular case

Cites Work

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• The change of the Jordan structure of a matrix under small perturbations
• Matrices with prescribed rows and invariant factors
• Perturbation of linear control systems
• Semi-stability of sums of partial multiplicities under additive perturbation
• The change of the Jordan structure under one row perturbations
• On the characteristic polynomial of matrices with prescribed rows
• Feedback invariants of matrices with prescribed rows

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