3 papers
math.AP2025
Infinite-dimensional port-Hamiltonian systems with a stationary interface
Alexander Kilian, Bernhard Maschke, Andrii Mironchenko +1
We consider two systems of two conservation laws that are defined on complementary, one-dimensional spatial intervals and coupled by an interface as a single port-Hamiltonian syste…
math.OC2024
Optimal control of port-Hamiltonian systems: energy, entropy, and exergy
Friedrich Philipp, Manuel Schaller, Karl Worthmann +2
We consider irreversible and coupled reversible-irreversible nonlinear port-Hamiltonian systems and the respective sets of thermodynamic equilibria. In particular, we are concerned…
math.OC2024
Port-Hamiltonian systems with energy and power ports
Kaja Krhac, Bernhard Maschke, Arjan van der Schaft
We extend the port-Hamiltonian framework defined with respect to a Lagrangian submanifold and a Dirac structure by augmenting the Lagrangian submanifold with the space of external…