Structured perturbation of the Brunovsky form: a particular case

DOI10.1016/j.laa.2008.05.022zbMath1155.93033OpenAlexW1997273796MaRDI QIDQ1002263

J. Martínez

Publication date: 25 February 2009

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

Full work available at URL: https://doi.org/10.1016/j.laa.2008.05.022

zbMATH Keywords

controllability indicesmajorizationinvariant factorsinterlacing inequalitiesKalmanstructured perturbationBrunovsky

Mathematics Subject Classification ID

Perturbations in control/observation systems (93C73) Canonical structure (93B10) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Canonical forms, reductions, classification (15A21)

Related Items (2)

Canonical form associated with the problem of perturbation of one column of a controllable pair ⋮ The change of the Brunovsky structure of a controllable pair under one column perturbation in a particular case

Cites Work

• The change of the Jordan structure of a matrix under small perturbations
• The change of feedback invariants under one row perturbation
• The change of similarity invariants under row perturbations: Generic cases
• The change of similarity invariants under row perturbations
• On perturbations and the equivalence orbit of a matrix pencil
• Matrices with prescribed rows and invariant factors
• Interlacing inequalities and control theory
• Perturbation of linear control systems
• Semi-stability of sums of partial multiplicities under additive perturbation
• Fast projection methods for minimal design problems in linear system theory
• Interlacing inequalities for invariant factors
• Imbedding conditions for \(\lambda\)-matrices
• Feedback invariants of restrictions and quotients: Series connected systems
• The change of the Jordan structure under one row perturbations
• Column completion of a pair of matrices
• Controllability and Hermite indices of matrix pairs
• The change of feedback invariants under column perturbations: particular cases
• Hermite Indices and Jordan Structure of a Perturbed Linear System
• Inequalities: theory of majorization and its applications
• Feedback invariants of restrictions -- a polynomial approach
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