Logo of Humboldt-Universität zu BerlinLogo of Humboldt-Universität zu Berlin
edoc-Server
Open-Access-Publikationsserver der Humboldt-Universität
de|en
Header image: facade of Humboldt-Universität zu Berlin
View Item 
  • edoc-Server Home
  • Schriftenreihen und Sammelbände
  • Fakultäten und Institute der HU
  • Institut für Mathematik
  • Preprints aus dem Institut für Mathematik
  • View Item
  • edoc-Server Home
  • Schriftenreihen und Sammelbände
  • Fakultäten und Institute der HU
  • Institut für Mathematik
  • Preprints aus dem Institut für Mathematik
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.
All of edoc-ServerCommunity & CollectionTitleAuthorSubjectThis CollectionTitleAuthorSubject
PublishLoginRegisterHelp
StatisticsView Usage Statistics
All of edoc-ServerCommunity & CollectionTitleAuthorSubjectThis CollectionTitleAuthorSubject
PublishLoginRegisterHelp
StatisticsView Usage Statistics
View Item 
  • edoc-Server Home
  • Schriftenreihen und Sammelbände
  • Fakultäten und Institute der HU
  • Institut für Mathematik
  • Preprints aus dem Institut für Mathematik
  • View Item
  • edoc-Server Home
  • Schriftenreihen und Sammelbände
  • Fakultäten und Institute der HU
  • Institut für Mathematik
  • Preprints aus dem Institut für Mathematik
  • View Item
2005-11-04Buch DOI: 10.18452/2634
Singularities of linear time-varying DAEs
Riaza, Ricardo
März, Roswitha
Singular issues arising in linear time-varying differential-algebraic equations are addressed in this paper. We review the use of projector methods based upon the tractability index concept for the analysis of regular problems. A taxonomy of singularities which describes the failing of some assumption in the tractability index definition is then introduced. The analysis of singular problems is focused on situations in which the degeneracy is a minimal one, namely, equations which admit a well-defined extension of the solution set through the singularity. In this framework, so-called weak singularities are shown to display a non-singular local flow despite the singular nature of the problem, extending previous results proved for low-index autonomous systems. Several examples illustrate the scope of the work.
Files in this item
Thumbnail
9.pdf — Adobe PDF — 326.5 Kb
MD5: 5d9838eda572253c92c490b9f9cc8bb5
Cite
BibTeX
EndNote
RIS
InCopyright
Details
DINI-Zertifikat 2019OpenAIRE validatedORCID Consortium
Imprint Policy Contact Data Privacy Statement
A service of University Library and Computer and Media Service
© Humboldt-Universität zu Berlin
 
DOI
10.18452/2634
Permanent URL
https://doi.org/10.18452/2634
HTML
<a href="https://doi.org/10.18452/2634">https://doi.org/10.18452/2634</a>