8 citations · 22 across the 14 of their papers we have counts for
6 papers · 1 filter
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…
Structure-Preserving Model Reduction for Dissipative Mechanical Systems
Rebekka S. Beddig, Peter Benner, Ines Dorschky +4
Suppressing vibrations in mechanical systems, usually described by second-order dynamical models, is a challenging task in mechanical engineering in terms of computational resource…
Tracking control for underactuated non-minimum phase multibody systems
Thomas Berger, Svenja Drücker, Lukas Lanza +2
We consider tracking control for multibody systems which are modelled using holonomic and nonholonomic constraints. Furthermore, the systems may be underactuated and contain kinema…
Balanced truncation model reduction for symmetric second order systems -- A passivity-based approach
Ines Dorschky, Timo Reis, Matthias Voigt
We introduce a model reduction approach for linear time-invariant second order systems based on positive real balanced truncation. Our method guarantees asymptotic stability and pa…
Dynamic iteration schemes and port-Hamiltonian formulation in coupled DAE circuit simulation
Michael Günther, Andreas Bartel, Birgit Jacob +1
Electric circuits are usually described by charge- and flux-oriented modified nodal analysis. In this paper, we derive models as port-Hamiltonian systems on several levels: overall…
Vector relative degree and funnel control for differential-algebraic systems
Thomas Berger, Huy Hoàng Lê, Timo Reis
We consider tracking control for multi-input multi-output differential-algebraic systems. First, the concept of vector relative degree is generalized for linear systems and we arri…