22 citations · 36 across the 26 of their papers we have counts for
5 papers · 1 filter
Long- and short-time behavior of hypocoercive evolution equations with higher index via modal decompositions
Marco Roschkowski, Hannes Gernandt
Hypocoercivity emerged in kinetic transport theory, allowing to derive exponential long-time estimates for evolution equations. Recently, the short-time asymptotics for equations w…
Neural Scaling Laws for Learning-based Identification of Nonlinear Systems
Marco Roschkowski, Karim Cherifi, Hannes Gernandt
The use of machine learning models in system identification has increased due to their ability to approximate complex nonlinear dynamics with high accuracy. However, often it is no…
Two energy methods for distributed port-Hamiltonian systems and their application to stability analysis
Marco Roschkowski, Hannes Gernandt
We develop two local energy methods for distributed parameter port-Hamiltonian (pH) systems on one-dimensional spatial domains. The methods are applied to derive a characterization…
Extension theory via boundary triplets for infinite-dimensional implicit port-Hamiltonian systems
Hannes Gernandt, Friedrich Philipp, Till Preuster +1
The solution of constrained linear partial-differential equations can be described via parametric representations of linear relations. To study these representations, we provide a…
Nonlinear port-Hamiltonian system identification from input-state-output data (ISO-pHNN)
Karim Cherifi, Achraf El Messaoudi, Hannes Gernandt +1
In this paper, we introduce a framework called ISO-pHNN for identifying nonlinear port-Hamiltonian systems using input-state-output data. The framework utilizes neural networks' un…