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Little things make big things happen: Model reduction on manifolds of port-Hamiltonian systems
FunderNetherlands Organisation for Scientific Research (NWO)
DurationFrom 01 Apr 2025
Funded underOpen Competitie ENW - M 2023/2024 Pakket 23-2
Project codeOCENW.M.23.181
Identifiers
Description
Port-Hamiltonian (pH) systems are used in practical applications like network modeling and soft robot control. They have desirable physical properties but lack closed-form solutions, resulting in high-dimensional models requiring extensive computational resources. To accelerate computations for pH systems, we use model reduction (MOR). However, classical MOR methods may not provide sufficient approximation quality, so we investigate an approach called MOR on manifolds. Furthermore, it is crucial that the reduced-order model (ROM) retains the same physical characteristics as the high-dimensional pH system. Therefore, there is a need to develop structure-preserving MOR on manifolds for pH systems to provide computationally efficient ROMs.
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Port-Hamiltonian (pH) systems are used in practical applications like network modeling and soft robot control. They have desirable physical properties but lack closed-form solutions, resulting in high-dimensional models requiring extensive computational resources. To accelerate computations for pH systems, we use model reduction (MOR). However, classical MOR methods may not provide sufficient approximation quality, so we investigate an approach called MOR on manifolds. Furthermore, it is crucial that the reduced-order model (ROM) retains the same physical characteristics as the high-dimensional pH system. Therefore, there is a need to develop structure-preserving MOR on manifolds for pH systems to provide computationally efficient ROMs.
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