Enumeration of classes of linear systems via equations and via partitions in an ordered Abelian monoid

DOI10.1016/j.laa.2012.08.040zbMath1256.93036OpenAlexW2037258148MaRDI QIDQ1931725

Miguel V. Carriegos

Publication date: 16 January 2013

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

Full work available at URL: https://doi.org/10.1016/j.laa.2012.08.040

zbMATH Keywords

partitionfeedback equivalenceenumerationcommutative ringmonoidBrunovsky linear systemscommutative zero-sum-free monoidprojective decomposition

Mathematics Subject Classification ID

Canonical structure (93B10) Projective and free modules and ideals in commutative rings (13C10) Algebraic methods (93B25) Canonical forms, reductions, classification (15A21)

Related Items (5)

Partitions, Diophantine equations, and control systems ⋮ Feedback equivalence of convolutional codes over finite rings ⋮ On the \(K\)-theory of feedback actions on linear systems ⋮ Partitions of elements in a monoid and its applications to systems theory ⋮ A characterization of von Neumann rings in terms of linear systems

Cites Work

• Brunowsky local form of a holomorphic family of pairs of matrices
• Preserving pole assignable systems and reachable systems in commutative rings
• Feedback equivalence of constant linear systems
• New results on pole-shifting for parametrized families of systems
• Remarks on the pole-shifting problem over rings
• The pointwise feedback relation for linear dynamical systems
• On the local-global decomposition of linear control systems.
• On matrix inverses modulo a subspace.
• Brunovsky's canonical form for linear dynamical systems over commutative rings
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