On the Ore Extension Ring of Differential Time-Varying Delay Operators

DOI10.1007/978-3-030-89014-8_5zbMath1504.93212OpenAlexW4226021480MaRDI QIDQ5054561

Rosane Ushirobira, Alban Quadrat

Publication date: 29 November 2022

Published in: Advances in Delays and Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-89014-8_5

Mathematics Subject Classification ID

Operator-theoretic methods (93B28) Control/observation systems governed by ordinary differential equations (93C15) Delay control/observation systems (93C43) Functional-differential and differential-difference operators (47E07)

Uses Software

• OreModules

Cites Work

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• Multidimensional constant linear systems
• An introduction to homological algebra
• 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
• Introduction to time-delay systems. Analysis and control
• OreModules: A Symbolic Package for the Study of Multidimensional Linear Systems
• Projective modules and Gröbner bases for skew PBW extensions
• Design of LPV observers for LPV time-delay systems: an algebraic approach
• An algebraic analysis approach to linear time-varying systems
• Controllability and observability of linear delay systems: an algebraic approach
• Robust exponential stability of uncertain systems with time-varying delays
• Algebraic analysis of linear multidimensional control systems

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