TY  - CONF
AU  - Warnecke, Torben
AU  - Lichtenberg, Gerwald
TI  - Hybrid implicit multilinear simulation using difference algebraic equations reordering by sparsity patterns
CY  - [Piscataway, NJ]
PB  - IEEE
M1  - PUBDB-2025-02108
SN  - 979-8-3503-7397-4
SP  - 2578 - 2583
PY  - 2024
N1  - Literaturangaben;
AB  - 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.
T2  - 2024 10th International Conference on Control, Decision and Information Technologies
CY  - 1 Jul 2024 - 4 Jul 2024, Vallette (Malta)
Y2  - 1 Jul 2024 - 4 Jul 2024
M2  - Vallette, Malta
LB  - PUB:(DE-HGF)8 ; PUB:(DE-HGF)7
DO  - DOI:10.1109/CoDIT62066.2024.10708218
UR  - https://bib-pubdb1.desy.de/record/632075
ER  -