Equivalences of Linear Functional Systems

DOI10.1007/978-3-030-38356-5_2zbMath1448.93053OpenAlexW2561527232MaRDI QIDQ5118402

Thomas Cluzeau, Alban Quadrat

Publication date: 8 September 2020

Published in: Algebraic and Symbolic Computation Methods in Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://hal.inria.fr/hal-01413593/file/RR-9000.pdf

zbMATH Keywords

computer algebraalgebraic systemsmathematical system theory

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Algebraic methods (93B25)

Uses Software

• Maple
• OreModules
• OreMorphisms
• OreAlgebraicAnalysis

Cites Work

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• Recent progress in an algebraic analysis approach to linear systems
• Algorithms for the theory of restrictions of scalar \(n\)-D systems to proper subspaces of \(\mathbb {R}^n\)
• Serre's reduction of linear partial differential systems with holonomic adjoints
• A new insight into Serre's reduction problem
• Serre's reduction of linear functional systems.
• Meixner matrix ensembles
• Multidimensional constant linear systems
• \(D\)-modules, perverse sheaves, and representation theory. Translated from the Japanese by Kiyoshi Takeuchi
• Non-commutative elimination in Ore algebras proves multivariate identities
• Factoring and decomposing a class of linear functional systems
• Computation of bases of free modules over the Weyl algebras.
• Effective algorithms for parametrizing linear control systems over Ore algebras
• OreModules: A Symbolic Package for the Study of Multidimensional Linear Systems
• Controllability and observability of linear delay systems: an algebraic approach

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