5 papers
Structure-Preserving Discretization and Model Reduction for Energy-Based Models
Robert Altmann, Attila Karsai, Philipp Schulze
We investigate discretization strategies for a recently introduced class of energy-based models. The model class encompasses classical port-Hamiltonian systems, generalized gradien…
A discrete gradient scheme for preserving QSR-dissipativity
Attila Karsai, Philipp Schulze
The notion of dissipative dynamical systems provides a formal description of processes that cannot generate energy internally. For these systems, changes in energy can only occur d…
Nonlinear systems and passivity: feedback control, model reduction, and time discretization
Tobias Breiten, Attila Karsai
Dynamical systems can be used to model a broad class of physical processes, and conservation laws give rise to system properties like passivity or port-Hamiltonian structure. An im…
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…
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-…