On the standard canonical form of time-varying linear DAEs

DOI10.1090/S0033-569X-2012-01285-1zbMath1283.34007OpenAlexW2151395022WikidataQ123260768 ScholiaQ123260768MaRDI QIDQ4915098

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Publication date: 16 April 2013

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0033-569x-2012-01285-1

zbMATH Keywords

differential-algebraic equationstandard canonical formanalytically solvablegeneralized transition matrixtime-varying linear differential-algebraic equation

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Implicit ordinary differential equations, differential-algebraic equations (34A09) Linear ordinary differential equations and systems (34A30)

Related Items (5)

A new projector based decoupling of linear DAEs for monitoring singularities ⋮ Stability analysis of time-varying perturbed descriptor systems ⋮ On a Newton-type method for differential-algebraic equations ⋮ On BDF-based multistep schemes for some classes of linear differential-algebraic equations of index at most 2 ⋮ Adaptive time propagation for time-dependent Schrödinger equations

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• Mathematical Systems Theory I
• A General Form for Solvable Linear Time Varying Singular Systems of Differential Equations
• The Numerical Solution of Higher Index Linear Time Varying Singular Systems of Differential Equations
• Generalizations of a theorem of doležal

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