Article | Proceedings of the 9th International MODELICA Conference; September 3-5; 2012; Munich; Germany | Probability-One Homotopy for Robust Initialization of Differential-Algebraic Equations

Title:
Probability-One Homotopy for Robust Initialization of Differential-Algebraic Equations
Author:
Michael Sielemann: Deutsches Zentrum für Luft- und Raumfahrt, Robotics and Mechatronics Center, System Dynamics and Control, Germany
DOI:
10.3384/ecp12076223
Download:
Full text (pdf)
Year:
2012
Conference:
Proceedings of the 9th International MODELICA Conference; September 3-5; 2012; Munich; Germany
Issue:
076
Article no.:
022
Pages:
223-236
No. of pages:
14
Publication type:
Abstract and Fulltext
Published:
2012-11-19
ISBN:
978-91-7519-826-2
Series:
Linköping Electronic Conference Proceedings
ISSN (print):
1650-3686
ISSN (online):
1650-3740
Publisher:
Linköping University Electronic Press; Linköpings universitet


An evolution of the recently introduced operator homotopy() is proposed; which further improves the solution of difficult initialization problems. The background and motivation for this approach are discussed and it is demonstrated how to apply it for electrical and fluid systems. The key difference to the earlier approach is the supporting theory; which guarantees that the method converges globally with probability one.

Keywords: Initialization; DAE; homotopy; nonlinear equations

Proceedings of the 9th International MODELICA Conference; September 3-5; 2012; Munich; Germany

Author:
Michael Sielemann
Title:
Probability-One Homotopy for Robust Initialization of Differential-Algebraic Equations
DOI:
10.3384/ecp12076223
References:
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Proceedings of the 9th International MODELICA Conference; September 3-5; 2012; Munich; Germany

Author:
Michael Sielemann
Title:
Probability-One Homotopy for Robust Initialization of Differential-Algebraic Equations
DOI:
10.3384/ecp12076223
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