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Solution concepts for linear DAEs: A survey

Trenn, S., 1-Jan-2013, Surveys in Differential-Algebraic Equations I. Springer Berlin Heidelberg, p. 137-172 36 p.

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  • Solution concepts for linear DAEs: A survey

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  • Solution concepts for linear DAEs: A survey

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DOI

This survey aims at giving a comprehensive overview of the solution theory of linear differential-algebraic equations (DAEs). For classical solutions a complete solution characterization is presented including explicit solution formulas similar to the ones known for linear ordinary differential equations (ODEs). The problem of inconsistent initial values is treated and different approaches are discussed. In particular, the common Laplace-transform approach is discussed in the light of more recent distributional solution frameworks.

Original languageEnglish
Title of host publicationSurveys in Differential-Algebraic Equations I
PublisherSpringer Berlin Heidelberg
Pages137-172
Number of pages36
ISBN (Electronic)9783642349287
ISBN (Print)9783642349270
Publication statusPublished - 1-Jan-2013
Externally publishedYes

    Keywords

  • Descriptor systems, Differential algebraic equations, Distributional solution theory, Laplace transform

ID: 50266471