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Preprint 05-2017

Regular solutions of DAE hybrid systems and regularization techniques

Source file is available as :   Portable Document Format (PDF)

Author(s) : Peter Kunkel , Volker Mehrmann

Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 05-2017

MSC 2000

34K34 Hybrid systems
34K28 Numerical approximation of solutions
65L80 Methods for differential-algebraic equations

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.

Keywords : differential-algebraic equation, hybrid system, switched system, index reduction, existence and uniqueness of solutions, Filippov regularization, strangeness index, chattering

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