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GESDA: A Software Package for the Numerical Solution of General Switched Differential- Algebraic Equations

Please always quote using this URN:urn:nbn:de:0296-matheon-5790
  • We describe a new software package for the numerical solution of general linear or nonlinear switched differential-algebraic equations (DAEs). The package embeds the DAE solvers GELDA and GENDA into a hybrid mode controller that determines the switch points, organizes the mode switching, and provides consistent initial values to restart the integration method at the switch point. It can deal with systems of arbitrary index and with linear systems that do not have unique solutions or inconsistencies in the initial values or the inhomogeneity. Nonuniqueness and inconsistencies are treated in a least square sense. The package includes the possibility of sliding mode simulation that allows an efficient treatment of chattering behavior during the simulation of a hybrid system. We give explicit descriptions how to use the package and include a numerical example.

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Metadaten
Author:Lena Scholz
URN:urn:nbn:de:0296-matheon-5790
Referee:Volker Mehrmann
Document Type:Preprint, Research Center Matheon
Language:English
Date of first Publication:2009/03/31
Release Date:2009/03/31
Institute:Technische Universität Berlin
Preprint Number:576
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