Title :
On the well-posedness of numerical DAE
Author :
Tidefelt, Henrik ; Torkel Glad, S.
Author_Institution :
Dept. of Electr. Eng., Linkoping Univ., Linkoping, Sweden
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;
Conference_Titel :
Control Conference (ECC), 2009 European
Conference_Location :
Budapest
Print_ISBN :
978-3-9524173-9-3
