TY - GEN A1 - Hamann, Peter A1 - Mehrmann, Volker T1 - Numerical solution of hybrid differential-algebraic equations N2 - We present the mathematical theory of general over- and underdetermined hybrid (switched) systems of differential-algebraic equations (HDAEs). We give a systematic formulation of HDAEs and discuss existence and uniqueness of solutions, the numerical computation 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 comparison of these methods for the real world example of simulating an automatic gearbox. Y1 - 2005 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/267 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-2674 ER -