A SURVEY OF THE REALIZATION AND DUALITY THEORIES OF LINEAR SYSTEMS OVER RINGS

DOI10.1080/16073606.1982.9632260zbMath0506.93009OpenAlexW2056419936MaRDI QIDQ4744122

G. Naude, C. G. Nolte

Publication date: 1982

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/16073606.1982.9632260

zbMATH Keywords

realization theorysystem over rings

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Linear systems in control theory (93C05) Minimal systems representations (93B20) Algebraic methods (93B25) Realizations from input-output data (93B15) Graded rings and modules (associative rings and algebras) (16W50) Integral domains (associative rings and algebras) (16U10)

Cites Work

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• Remarks on the pole-shifting problem over rings
• A duality theory for decomposable systems in a category
• Foundations of system theory: Decomposable systems
• Éléments quasi-entiers et extensions de Fatou
• Duality and the regulator problem for linear systems over commutative rings
• On the existence of minimal realizations of linear dynamical systems over Noetherian integral domains
• On families of systems: pointwise-local-global isomorphism problems†
• On an algebraic theory of systems defined by convolution operators
• On linear systems and noncommutative rings
• The lattice of minimal realizations of response maps over rings
• On split realizations of response maps over rings
• Pole placement over integral domains
• On the Control of Certain Deterministic, Infinite-Dimensional by Algebro-Geometric Techniques

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