Canonical forms for linear systems

DOI10.1016/0024-3795(83)90064-2zbMath0541.93005OpenAlexW2057541105MaRDI QIDQ794964

Dieter Prätzel-Wolters

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0024-3795(83)90064-2

zbMATH Keywords

state-spaceintegratorscompletely uncontrollable systemsGl(n)-actionminimal orbit elementsreachable (A,B)-pairs

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Canonical structure (93B10) Algebraic methods (93B25) Canonical forms, reductions, classification (15A21) Model systems in control theory (93C99)

Related Items (4)

A wild quiver in linear systems theory ⋮ A Jordan canonical form for reachable linear systems ⋮ Geometric classification of monogenic subspaces and uniparametric linear control systems ⋮ Normal forms in matrix spaces

Cites Work

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• Basis of invariants and canonical forms for linear dynamic systems
• Decidability criteria for the similarity problem, with applications to the moduli of linear dynamical systems
• Canonical forms for the identification of multivariable linear systems
• Generalized Hermite Matrices and Complete Invariants of Strict System Equivalence
• A unique canonical form for muItivariable linear systems†
• Invariant Description of Linear, Time-Invariant Controllable Systems
• A canonical model for identification of multivariable linear systems

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