The lattice of minimal realizations of response maps over rings

DOI10.1007/BF01768475zbMath0349.93012OpenAlexW2028884941MaRDI QIDQ4120413

Eduardo D. Sontag

Publication date: 1977

Published in: Mathematical Systems Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01768475

Mathematics Subject Classification ID

Canonical structure (93B10) Algebraic methods (93B25) Realizations from input-output data (93B15) Theory of modules and ideals in commutative rings (13C99)

Related Items (7)

A lattice approach to analysis and synthesis problems ⋮ On a generalization of the Youla-Kučera parametrization. II: The lattice approach to MIMO systems ⋮ First-order representations of delay-differential systems in a behavioural setting ⋮ Time-delay systems: an overview of some recent advances and open problems. ⋮ Geometrically minimal realizations of Boolean controlled systems ⋮ On the existence of minimal realizations of linear dynamical systems over Noetherian integral domains ⋮ A SURVEY OF THE REALIZATION AND DUALITY THEORIES OF LINEAR SYSTEMS OVER RINGS

Cites Work

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• Linear dynamical systems over integral domains
• Matrices de Hankel
• On an algebraic theory of systems defined by convolution operators
• On split realizations of response maps over rings
• Algebraic Structure of Linear Dynamical Systems. III. Realization Theory Over a Commutative Ring

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