47 citations · 124 across the 33 of their papers we have counts for
37 papers
Block numerical ranges for linear relations
Rabeb Aydi, Hannes Gernandt, Omaima Kchaou +2
Linear relations are multivalued generalizations of linear operators whose spectral properties are closely linked to the stability of differential-algebraic equations. Consequently…
Boundary value problems for linear differential-algebraic equations: solvability via the Kronecker canonical form
Anar Assanova, Carsten Trunk, Roza Uteshova +1
The solvability of two-point boundary value problems for constant-coefficient differential-algebraic equations is investigated. Unlike previous studies, which often assume that the…
Hermitian Pencils and their Representation in Krein Spaces
Rabeb Aydi, Omaima Kchaou, Carsten Trunk
Pencils of the form are studied, where and are bounded linear operators on a Hilbert space. Of interest are the spectral properties of $\mathcal{A}(…
On non-negative operators in Krein spaces and their perturbations
Jussi Behrndt, Friedrich M. Philipp, Carsten Trunk
One of the most important contributions of Heinz Langer in the area of operator theory in Krein spaces is the introduction of the notion of definitizable operators and the construc…
Transparent boundary conditions for the stationary Schroedinger equation via Weyl-Titchmarsh theory
V. A. Derkach, C. Trunk, J. R. Yusupov +1
We propose a general approach for deriving transparent boundary conditions for the stationary Schroedinger equation with arbitrary potential. It is proven that the transparent boun…
Feedback rectifiable pairs and stabilization of switched linear systems
Maria C. Honecker, Hannes Gernandt, Kai Wulff +2
We address the feedback design problem for switched linear systems. In particular we aim to design a switched state-feedback such that the resulting closed-loop subsystems share th…