16 citations · 22 across the 7 of their papers we have counts for
6 papers · 1 filter
Towards a modeling class for port-Hamiltonian systems with time-delay
Tobias Breiten, Dorothea Hinsen, Benjamin Unger
The framework of port-Hamiltonian (pH) systems is a powerful and broadly applicable modeling paradigm. In this paper, we extend the scope of pH systems to time-delay systems. Our d…
Passivity preserving model reduction via spectral factorization
Tobias Breiten, Benjamin Unger
We present a novel model-order reduction (MOR) method for linear time-invariant systems that preserves passivity and is thus suited for structure-preserving MOR for port-Hamiltonia…
Port-Hamiltonian formulations of poroelastic network models
Robert Altmann, Volker Mehrmann, Benjamin Unger
We investigate an energy-based formulation of the two-field poroelasticity model and the related multiple-network model as they appear in geosciences or medical applications. We pr…
Delay differential-algebraic equations in real-time dynamic substructuring
Benjamin Unger
Hybrid numerical-experimental testing is a standard approach for complex dynamical structures that are, on the one hand, not easy to model due to complexity and parameter uncertain…
The Pantelides algorithm for delay differential-algebraic equations
Ines Ahrens, Benjamin Unger
We present a graph-theoretical approach that can detect which equations of a delay differential-algebraic equation (DDAE) need to be differentiated or shifted to construct a soluti…
Discontinuity propagation in delay differential-algebraic equations
Benjamin Unger
The propagation of primary discontinuities in initial value problems for linear delay differential-algebraic equations (DDAEs) is discussed. Based on the (quasi-) Weierstraß form f…