Solution concepts for linear DAEs: A surveyTrenn, S., 1-Jan-2013, Surveys in Differential-Algebraic Equations I. Springer Berlin Heidelberg, p. 137-172 36 p.
Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic
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.
|Title of host publication||Surveys in Differential-Algebraic Equations I|
|Publisher||Springer Berlin Heidelberg|
|Number of pages||36|
|Publication status||Published - 1-Jan-2013|
- Descriptor systems, Differential algebraic equations, Distributional solution theory, Laplace transform