22 citations · 22 across the 2 of their papers we have counts for
4 papers
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…
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…
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…
On an extension of a global implicit function theorem
Thomas Berger, Frédéric Haller
We study the existence of global implicit functions for equations defined on open subsets of Banach spaces. The partial derivative with respect to the second variable is only requi…