Feedback invariants via output injection

DOI10.1016/j.laa.2003.12.030zbMath1060.93028OpenAlexW1987883052MaRDI QIDQ1827514

Alicia Roca, Zaballa, I.

Publication date: 6 August 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.2003.12.030

zbMATH Keywords

feedback equivalencetransformationminimal indicesoutput injectioninvariant factorscanonical structurepencil

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Canonical structure (93B10) Transformations (93B17) Miscellaneous inequalities involving matrices (15A45) Canonical forms, reductions, classification (15A21) Matrix pencils (15A22)

Related Items (4)

Classification of pairs of linear mappings between two vector spaces and between their quotient space and subspace ⋮ Matrix pencils completion problems ⋮ Equivalence of quadruples and feedback equivalence of related pairs ⋮ Similarity class of a matrix with a prescribed submatrix

Cites Work

• Interlacing inequalities and control theory
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• Generalized Hermite Matrices and Complete Invariants of Strict System Equivalence
• Structural Invariants of Linear Multivariable Systems
• The singular pencil of a linear dynamical system†
• A canonical model for identification of multivariable linear systems
• Sur la réduction canonique des couples de matrices
• Simultaneous similarity of matrices
• Feedback invariants of restrictions -- a polynomial approach
• Invariant factor assignment under state feedback and output injection
• Feedback invariants of a pair of matrices with prescribed columns
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