3 papers
math.OC2021
On the stability of port-Hamiltonian descriptor systems
Hannes Gernandt, Frédéric E. Haller
We characterize stable differential-algebraic equations (DAEs) using a generalized Lyapunov inequality. The solution of this inequality is then used to rewrite stable DAEs as dissi…
math.FA2020
A linear relation approach to port-Hamiltonian differential-algebraic equations
Hannes Gernandt, Frédéric Enrico Haller, Timo Reis
We consider linear port-Hamiltonian differential-algebraic equations (pH-DAEs). Inspired by the geometric approach of Maschke and van der Schaft and the linear algebraic approach o…
math.OC2020
Port-Hamiltonian formulation of nonlinear electrical circuits
Hannes Gernandt, Frédéric Haller, Timo Reis Arjan van der Schaft
We consider nonlinear electrical circuits for which we derive a port-Hamiltonian formulation. After recalling a framework for nonlinear port-Hamiltonian systems, we model each circ…