Dynamic feedback over commutative rings

DOI10.1016/0024-3795(88)90163-2zbMath0663.93020OpenAlexW1981532114MaRDI QIDQ1115380

James Brewer, Lee Klingler

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0024-3795(88)90163-2

zbMATH Keywords

dynamic feedbackDedekind domaincommutative ring

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Principal ideal rings (13F10) Algebraic methods (93B25) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items (9)

The dynamic feedback equivalence over principal ideal domains. ⋮ On the \(K\)-theory of feedback actions on linear systems ⋮ ON POLE ASSIGNABILITY AND FEEDEBACK CYCLISATION FOR SYSTEMS OVER RINGS OF FINITE DIMENSION ⋮ Preserving pole assignable systems and reachable systems in commutative rings ⋮ Dynamic feedback over rings whose homomorphic images are local-global ⋮ When are dynamic and static feedback equivalent? ⋮ A geometric approach to dynamic feedback cyclization over commutative rings ⋮ The dynamic feedback cyclization problem for principal ideals domains ⋮ Dynamic feedback over principal ideal domains and quotient rings

Cites Work

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• Pole assignment for systems over rings
• Some results on pole-placement and reachability
• Sweeping-similarity of matrices
• Pole assignability in polynomial rings, power series rings, and Prüfer domains
• On the pole assignability property over commutative rings
• Pole assignability and the invariant factor theorem in Prüfer domains and Dedekind domains
• New results on pole-shifting for parametrized families of systems
• Remarks on the pole-shifting problem over rings
• Regulation of split linear systems over rings: Coefficient-assignment and observers

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