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math.SP2021
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…
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…