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Probability-One Homotopy for Robust Initialization of Differential-Algebraic Equations

Sielemann, Michael (2012) Probability-One Homotopy for Robust Initialization of Differential-Algebraic Equations. In: Proceedings of the 9th International Modelica Conference. 9th International Modelica Conference, 3.-5. Sept. 2012, Munich, Germany.

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Abstract

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.

Item URL in elib:https://elib.dlr.de/77500/
Document Type:Conference or Workshop Item (Paper)
Title:Probability-One Homotopy for Robust Initialization of Differential-Algebraic Equations
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Sielemann, MichaelUNSPECIFIEDUNSPECIFIED
Date:4 September 2012
Journal or Publication Title:Proceedings of the 9th International Modelica Conference
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Status:Published
Keywords:Initialization, DAE, homotopy, nonlinear equations
Event Title:9th International Modelica Conference
Event Location:Munich, Germany
Event Type:international Conference
Event Dates:3.-5. Sept. 2012
Organizer:DLR - Robotics and Mechatronics Center
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Aeronautics
HGF - Program Themes:Aircraft Research (old)
DLR - Research area:Aeronautics
DLR - Program:L AR - Aircraft Research
DLR - Research theme (Project):L - Systems & Cabin (old)
Location: Oberpfaffenhofen
Institutes and Institutions:Institute of Robotics and Mechatronics (until 2012) > System Dynamics and Control (former Control Design Engineering)
Deposited By: Sielemann, Michael
Deposited On:26 Sep 2012 13:20
Last Modified:26 Sep 2012 13:20

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