1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.OC2024★ 1 cited
Port-Hamiltonian Realizations of Positive Real Descriptor Systems
Delin Chu, Volker Mehrmann
The relationship between port-Hamiltonian and positive real descriptor systems is investigated. It is well-known that port-Hamiltonian systems are positive real, but the converse i…
math.NA2024
On the discrete equivalence of Lagrangian, Hamiltonian and mixed finite element formulations for linear wave phenomena
Andrea Brugnoli, Volker Mehrmann
It is well known that the Lagrangian and Hamiltonian descriptions of field theories are equivalent at the discrete time level when variational integrators are used. Besides the sym…
math.OC2023
A geometric framework for discrete time port-Hamiltonian systems
Karim Cherifi, Hannes Gernandt, Dorothea Hinsen +1
Port-Hamiltonian systems provide an energy-based formulation with a model class that is closed under structure preserving interconnection. For continuous-time systems these interco…