Hermite indices and the action of the feedback group

DOI10.1016/j.laa.2004.10.021zbMath1127.93022OpenAlexW1982707813MaRDI QIDQ1779408

Niranjan Chakravarthy

Publication date: 1 June 2005

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

Full work available at URL: https://doi.org/10.1016/j.laa.2004.10.021

zbMATH Keywords

Hermite indicesBrunovsky indicesMajorizationSimilarityControllability indicesFeedback equivalence

Mathematics Subject Classification ID

Feedback control (93B52) Vector and tensor algebra, theory of invariants (15A72) Algebraic methods (93B25)

Related Items (1)

Feedback equivalence and uniform ensemble reachability

Cites Work

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• On \((A,B)^t\)-invariant subspaces having extendible Brunovsky bases
• Matrices with prescribed rows and invariant factors
• Fast projection methods for minimal design problems in linear system theory
• Feedback invariants of supplementary pairs of matrices
• Block similarity invariants of restrictions to \((A,B)\)-invariant subspaces
• Column completion of a pair of matrices
• Feedback invariants of pairs of matrices and restrictions
• Controllability and Hermite indices of matrix pairs
• Generalized Hermite Matrices and Complete Invariants of Strict System Equivalence
• A canonical model for identification of multivariable linear systems
• Feedback invariants of restrictions -- a polynomial approach
• Feedback invariants of a pair of matrices with prescribed columns

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