Converting high order linear PDEs to first order: noncommutative case

DOI10.1016/J.SYSCONLE.2017.08.008zbMath1420.35019OpenAlexW2766083399MaRDI QIDQ1690973

Vakhtang Lomadze

Publication date: 12 January 2018

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sysconle.2017.08.008

zbMATH Keywords

tensor productexact sequenceOre algebraJordan pencil

Mathematics Subject Classification ID

Geometric theory, characteristics, transformations in context of PDEs (35A30) Ore rings, multiplicative sets, Ore localization (16U20) Systems of linear first-order PDEs (35F35) Systems of linear higher-order PDEs (35G35)

Cites Work

• Converting high order linear PDEs to first order
• Effective algorithms for parametrizing linear control systems over Ore algebras
• Algebraic Theory of Linear Systems: A Survey

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