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001     632075
005     20250715171506.0
020 _ _ |a 979-8-3503-7397-4
024 7 _ |a 10.1109/CoDIT62066.2024.10708218
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037 _ _ |a PUBDB-2025-02108
041 _ _ |a English
100 1 _ |a Warnecke, Torben
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111 2 _ |a 2024 10th International Conference on Control, Decision and Information Technologies
|g (CoDIT)
|c Vallette
|d 2024-07-01 - 2024-07-04
|w Malta
245 _ _ |a Hybrid implicit multilinear simulation using difference algebraic equations reordering by sparsity patterns
260 _ _ |a [Piscataway, NJ]
|c 2024
|b IEEE
295 1 0 |a [Ebook] 10th-2024 International Conference on Control, Decision and Information Technologies : CoDIT 2024, July 01-04, 2024, Valletta, Malta / CoDIT 2024 ; IEEE, IFAC - International Federation of Automation Control, L-Università ta' Malta, LISIER, IEEE SMC - System, Man, and Cybernetics Society, IEEE Control Systems Society, IEEE Robotics & Automation Society , [Piscataway, NJ] : IEEE, 2024,
300 _ _ |a 2578 - 2583
336 7 _ |a CONFERENCE_PAPER
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336 7 _ |a Contribution to a book
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500 _ _ |a Literaturangaben;
520 _ _ |a This paper introduces sparsity pattern analysis and explicit solution strategies for the initial value problem (IVP) of hybrid implicit multilinear systems of inequality constrained difference algebraic equations (dAEs), representing discrete-time hybrid implicit multilinear time-invariant (iMTI) models. Due to the multilinear nature of the functions involved in iMTI models, tensor decomposition methods can be applied to enable e.g. memory-efficient storage of large models. By reordering the incidence matrix associated with the unknown variables regarding the IVP, the structure of multilinear functions can be used, to explicitly solve certain implicit multilinear equations. The proposed approach reduces the complexity of solving certain multilinear systems of equations, facilitating efficient simulation and analysis of discrete-time hybrid iMTI models. The strategy was successfully employed in the simulation of a discrete-time model of a temperature-controlled water tank.
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693 _ _ |0 EXP:(DE-MLZ)NOSPEC-20140101
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700 1 _ |a Lichtenberg, Gerwald
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|e Corresponding author
773 _ _ |a 10.1109/CoDIT62066.2024.10708218
856 4 _ |u https://ieeexplore.ieee.org/document/10708218
856 4 _ |u https://bib-pubdb1.desy.de/record/632075/files/Hybrid_implicit_multilinear_simulation_using_difference_algebraic_equations_reordering_by_sparsity_patterns.pdf
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856 4 _ |u https://bib-pubdb1.desy.de/record/632075/files/Hybrid_implicit_multilinear_simulation_using_difference_algebraic_equations_reordering_by_sparsity_patterns.pdf?subformat=pdfa
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909 C O |o oai:bib-pubdb1.desy.de:632075
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910 1 _ |a Deutsches Elektronen-Synchrotron
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913 1 _ |a DE-HGF
|b Forschungsbereich Materie
|l Materie und Technologie
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