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Index determination and calculationof consistent initial values for DAEs

Authors
Journal
Computers & Mathematics with Applications
0898-1221
Publisher
Elsevier
Publication Date
Volume
50
Issue
7
Identifiers
DOI: 10.1016/j.camwa.2005.08.014
Keywords
  • Dae
  • Index Determination
  • Consistent Initial Values
  • Generalized Inverse
  • Hiddenconstraint

Abstract

Abstract The definition of the index of DAEs with properly stated leading term is based on a matrix sequence with suitably chosen projectors. A possible way of determining of this matrix sequence is presented; it includes the calculation of suitable projectors using generalized inverses. With the help of the matrix sequence elements (matrices, projectors) we calculate consistent initial values for DAEs up to index 2 by describing the hidden constraint. Examples are given.

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