Brunovsky's canonical form for linear dynamical systems over commutative rings

DOI10.1016/0024-3795(94)00062-XzbMath0843.93012MaRDI QIDQ1906775

M. Pilar Perez, Tomás Sánchez-Giralda, Jose Angel Hermida Alonso

Publication date: 15 August 1996

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

zbMATH Keywords

freeinvariantscanonical formcommutative ringKronecker indicesBrunovsky systemsreachable

Mathematics Subject Classification ID

Canonical structure (93B10) Algebraic methods (93B25)

Related Items (11)

On higher order linear systems: reachability and feedback invariants ⋮ Enumeration of classes of linear systems via equations and via partitions in an ordered Abelian monoid ⋮ Partitions, Diophantine equations, and control systems ⋮ Feedback equivalence of convolutional codes over finite rings ⋮ On the local-global decomposition of linear control systems. ⋮ Assignable polynomials to linear systems over von Neumann regular rings ⋮ Cyclic accessibility of reachable states characterizes von Neumann regular rings ⋮ Canonical forms for single input linear systems ⋮ The pointwise feedback relation for linear dynamical systems ⋮ Pole-shifting for linear systems over commutative rings ⋮ A characterization of von Neumann rings in terms of linear systems

Cites Work

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• Dynamical systems and their applications: linear theory
• Finitely generated projective modules and Fitting ideals
• Feedback invariants for linear dynamical systems over a principal ideal domain
• Feedback invariants of linear multivariable systems

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