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Regular solutions of DAE hybrid systems and regularization techniques

Research paper by Peter Kunkel, Volker Mehrmann

Indexed on: 08 Jun '18Published on: 24 May '18Published in: BIT Numerical Mathematics



Abstract

The 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.