The properties of differential-algebraic equations representing optimal control problems
Applied Numerical Mathematics
Characterizing differential algebraic equationswithout the use of derivative arrays
Computers & Mathematics with Applications
A new algorithm for index determination in DAEs using algorithmic differentiation
Numerical Algorithms
| Hi-index | 0.09 |
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.