8 citations · 22 across the 14 of their papers we have counts for
17 papers
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 formulation of Oseen flows
Timo Reis, Manuel Schaller
We present Oseen equations on Lipschitz domains in a port-Hamiltonian context. Such equations arise, for instance, by linearization of the Navier-Stokes equations. In our setup, th…
Infinite-dimensional port-Hamiltonian systems -- a system node approach
Friedrich Philipp, Timo Reis, Manuel Schaller
We consider an operator-theoretic approach to linear infinite-dimensional port-Hamiltonian systems. In particular, we use the theory of system nodes by Staffans to formulate a~suit…
Operator splitting based dynamic iteration for linear infinite-dimensional port-Hamiltonian systems
Bálint Farkas, Birgit Jacob, Timo Reis +1
A dynamic iteration scheme for linear infinite-dimensional port-Hamiltonian systems is proposed. The dynamic iteration is monotone in the sense that the error is decreasing, it doe…
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…
Analysis of a quasilinear coupled magneto-quasistatic model: solvability and regularity of solutions
Ralph Chill, Timo Reis, Tatjana Stykel
We consider a~quasilinear model arising from dynamical magnetization. This model is described by a~magneto-quasistatic (MQS) approximation of Maxwell's equations. Assuming that the…
Passivity, Port-Hamiltonian Formulation and Solution Estimates for a Coupled Magneto-Quasistatic System
Timo Reis, Tatjana Stykel
We study a~quasilinear coupled magneto-quasistatic model from a~systems theoretic perspective.} First, by taking the injected voltages as input and the associated currents as outpu…
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…
Funnel control for the monodomain equations with the FitzHugh-Nagumo model
Thomas Berger, Tobias Breiten, Marc Puche +1
We consider a nonlinear reaction diffusion system of parabolic type known as the monodomain equations, which model the interaction of the electric current in a cell. Together with…
Funnel control for boundary control systems
Marc Puche, Timo Reis, Felix Schwenninger
We study a nonlinear, non-autonomous feedback controller applied to boundary control systems. Our aim is to track a given reference signal with prescribed performance. Existence an…
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…