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math.DS2024
Passivity encoding representations of nonlinear systems
Attila Karsai, Tobias Breiten, Justus Ramme +1
Passive systems are characterized by their inability to generate energy internally, providing a powerful tool for modeling physical phenomena. Additionally, algebraically encoding…
math.NA2024
Energy-consistent Petrov-Galerkin time discretization of port-Hamiltonian systems
Jan Giesselmann, Attila Karsai, Tabea Tscherpel
For a general class of nonlinear port-Hamiltonian systems we develop a high-order time discretization scheme with certain structure preservation properties. The finite or infinite-…