1 citations · 1 across the 2 of their papers we have counts for
8 papers
On characteristic invariants of matrix pencils and linear relations
Hannes Gernandt, Francisco Martínez Pería, Friedrich Philipp +1
The relationship between linear relations and matrix pencils is investigated. Given a linear relation, we introduce its Weyr characteristic. If the linear relation is the range (or…
The spectrum and the Weyr characteristics of operator pencils and linear relations
Hannes Gernandt, Carsten Trunk
The relation between the spectra of operator pencils with unbounded coefficients and of associated linear relations is investigated. It turns out that various types of spectrum coi…
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…
A Calderón type inverse problem for tree graphs
Hannes Gernandt, Jonathan Rohleder
We study the inverse problem of recovering a tree graph together with the weights on its edges (equivalently a metric tree) from the knowledge of the Dirichlet-to-Neumann matrix as…