3 papers
math.NA2023
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…
math.SP2020
Pseudospectrum enclosures by discretization
Andreas Frommer, Birgit Jacob, Lukas Vorberg +2
A new method to enclose the pseudospectrum via the numerical range of the inverse of a matrix or linear operator is presented. The method is applied to finite-dimensional discretiz…
math.OC2020
Remarks on input-to-state stability of collocated systems with saturated feedback
Birgit Jacob, Felix L. Schwenninger, Lukas A. Vorberg
We investigate input-to-state stability (ISS) of infinite-dimensional collocated control systems subject to saturated feedback. Here, the unsaturated closed loop is dissipative and…