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arXiv:2611.05031 · v1

Comparing model representations and fitting methods for port-Hamiltonian system identification

首次提交 2026-11-03 23:05
版本更新 2026-11-03 23:05
雷达观测 2026-11-04 23:39
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摘要

Port-Hamiltonian models describe physical systems by separating stored energy, dissipation and external inputs. Learning such models from data requires a choice of representation and fitting method. We compare using neural networks, analytic expressions and combinations of the two for representing the different components of the port-Hamiltonian system, and compare fitting the models with gradient-based optimisation or sparse regression. Testing on simulations of mechanical and electrical systems, with and without added noise, we present prediction accuracy and computational cost of the different approaches.

作者备注:6 pages, 3 figures; submitted to the invited session "Learning and identification of port-Hamiltonian systems" at the 21st IFAC Symposium on System Identification (SYSID 2027)

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v1 · 2026-11-03 23:05 · 最新观测版本

Comparing model representations and fitting methods for port-Hamiltonian system identification

Port-Hamiltonian models describe physical systems by separating stored energy, dissipation and external inputs. Learning such models from data requires a choice of representation and fitting method. We compare using neural networks, analytic expressions and combinations of the two for representing the different components of the port-Hamiltonian system, and compare fitting the models with gradient-based optimisation or sparse regression. Testing on simulations of mechanical and electrical systems, with and without added noise, we present prediction accuracy and computational cost of the different approaches.

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