Kunkel, PeterMehrmann, Volker2021-12-172021-12-172017-04-192197-8085https://depositonce.tu-berlin.de/handle/11303/15892http://dx.doi.org/10.14279/depositonce-14665The solvability and regularity of hybrid differential-algebraic systems (DAEs) is studied, and classical stability estimates are extended to hybrid DAE systems. Different reasons for non-regularity are discussed and appropriate regularization techniques are presented. This includes a generalization of Filippov regularization in the case of so-called chattering. The results are illustrated by several numerical examples.en510 Mathematikdifferential-algebraic equationhybrid systemswitched systemindex reductionexistence and uniqueness of solutionsFilippov regularizationstrangeness indexchatteringResearch Paper