Numerical Solution of Hybrid Systems of Differential-algebraic Equations

@inproceedings{HAMANN2007NumericalSO,
  title={Numerical Solution of Hybrid Systems of Differential-algebraic Equations},
  author={PETER HAMANN and Volker Mehrmann},
  year={2007}
}
We present a mathematical framework for general overand underdetermined hybrid (switched) systems of differential-algebraic equations (HDAEs). We give a systematic formulation of HDAEs and discuss existence and uniqueness of solutions, the treatment of the switch points and how to perform consistent initialization at switch points. We show how numerical solution methods for DAEs can be adapted for HDAEs and present a numerical results for these methods for the real world example of simulating… CONTINUE READING
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