8 citations · 22 across the 14 of their papers we have counts for
6 papers · 1 filter
Operator-ADI balanced truncation of delay differential systems
Timo Reis
We develop a balanced truncation method for linear delay differential systems based on a finite-rank alternating-direction implicit (ADI) iteration for the associated operator Lyap…
Port-Hamiltonian Systems Modelling in Electrical Engineering
Andreas Bartel, Markus Clemens, Michael Günther +2
The port-Hamiltonian modelling framework allows for models that preserve essential physical properties such as energy conservation or dissipative inequalities. If all subsystems ar…
Operator Splitting Based Dynamic Iteration for Linear Port-Hamiltonian Systems
Andreas Bartel, Michael Günther, Birgit Jacob +1
A dynamic iteration scheme for linear differential-algebraic port-Hamil\-tonian systems based on Lions-Mercier-type operator splitting methods is developed. The dynamic iteration i…
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…
The SDA Method for Numerical Solution of Lur'e Equations
Federico Poloni, Timo Reis
We introduce a numerical method for the numerical solution of the so-called Lur'e matrix equations that arise in balancing-related model reduction and linear-quadratic infinite tim…