104 citations · 358 across the 47 of their papers we have counts for
53 papers
Infinite-dimensional linear port-Hamiltonian systems on a one-dimensional spatial domain: An Introduction
Birgit Jacob, Hans Zwart
We provide an introduction to infinite-dimensional port-Hamiltonian systems. As this research field is quite rich, we restrict ourselves to the class of infinite-dimensional linear…
Computing the Quadratic Numerical Range
Birgit Jacob, Lukas Vorberg, Christian Wyss
A novel algorithm for the computation of the quadratic numerical range is presented and exemplified yielding much better results in less time compared to the random vector sampling…
Input-to-state stability for bilinear feedback systems
René Hosfeld, Birgit Jacob, Felix Schwenninger +1
Input-to-state stability estimates with respect to small initial conditions and input functions for infinite-dimensional systems with bilinear feedback are shown. We apply the obta…
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…
Structure-preserving identification of port-Hamiltonian systems -- a sensitivity-based approach
Michael Günther, Birgit Jacob, Claudia Totzeck
We present a gradient-based calibration algorithm to identify a port-Hamiltonian system from given time-domain input-output data. The gradient is computed with the help of sensitiv…