4 papers
Second-order bulk-surface splitting for the wave equation with kinetic boundary conditions
R. Altmann, R. Morandin
This paper is devoted to the numerical analysis of a second-order bulk--surface splitting scheme for the semi-linear wave equation with kinetic boundary conditions. The constructio…
Discrete gradient methods for port-Hamiltonian differential-algebraic equations
Philipp L. Kinon, Riccardo Morandin, Philipp Schulze
Discrete gradient methods are a powerful tool for the time discretization of dynamical systems, since they are structure-preserving regardless of the form of the total energy. In t…
Relationship between dissipativity concepts for linear time-varying port-Hamiltonian systems
Karim Cherifi, Hannes Gernandt, Dorothea Hinsen +2
The relationship between different dissipativity concepts for linear time-varying systems is studied, in particular between port-Hamiltonian systems, passive systems, and systems w…
Dissipative energy functionals of passive linear time-varying systems
Riccardo Morandin, Dorothea Hinsen
The concept of dissipativity plays a crucial role in the analysis of control systems. Dissipative energy functionals, also known as Hamiltonians, storage functions, or Lyapunov fun…