DocumentCode
695892
Title
On the well-posedness of numerical DAE
Author
Tidefelt, Henrik ; Torkel Glad, S.
Author_Institution
Dept. of Electr. Eng., Linkoping Univ., Linkoping, Sweden
fYear
2009
fDate
23-26 Aug. 2009
Firstpage
826
Lastpage
831
Abstract
Solving unstructured linear differential-algebraic equations in the presence of numeric uncertainty in the equation coefficients is an ill-posed problem - arbitrarily small changes in the coefficients of the leading matrix may change the solution completely. To obtain well-posedness, assumptions must be made, even for DAE of index 0. In this work, we propose assumptions about the system poles to obtain well-posedness.
Keywords
differential algebraic equations; matrix algebra; equation coefficients; leading matrix; numeric uncertainty; numerical DAE; unstructured linear differential-algebraic equations; well-posedness; Eigenvalues and eigenfunctions; Equations; Indexes; Mathematical model; Matrix decomposition; Uncertainty; Upper bound;
fLanguage
English
Publisher
ieee
Conference_Titel
Control Conference (ECC), 2009 European
Conference_Location
Budapest
Print_ISBN
978-3-9524173-9-3
Type
conf
Filename
7074506
Link To Document