The Perron–Frobenius spectral theory of nonnegative matrices motivated an intensive study
of the relationship between graph theoretic properties and spectral properties of matrices …

Die vorliegende Dissertationsschrift beschäftigt sich mit der systematischen Analyse
dynamischer Systeme und dem konstruktiven Regelungsentwurf auf Basis von Lyapunov …

Mathematical models for simulation and control of systems and mechanisms naturally arise
in a descriptor form. The stability analysis of descriptor systems, involving free parameters as …

The generic Jordan block sizes corresponding to multiple characteristic roots at zero and at
infinity of a singular matrix pencil will be determined graph-theoretically. An application of …

We consider a matrix pencil consisting of two square structured matrices of the same
dimensions, where we call a matrix structured if we only know its zero/nonzero pattern …

We consider a family of pairs of m× p and m× q matrices, in which some entries are required
to be zero and the others are arbitrary, with respect to transformations (A, B)↦(SAR1, SBR2) …

In this paper, we investigate the importance of DAB-index in analogue fault simulation. The
authors show that high indices which result from fault injection can lead to problems in …

Singularity avoidance is a current research topic. Singularities in general are analitically
computed by equating the determinant of the Jacobian matrix to zero. However each …

This thesis will use a graph theoretical approach in the framework of the regularity of DAEs.
The DAEs considered will be of the pattern matrix form. The method used in this thesis will …

This paper demonstrates the possibility of the occurrence of numerical problems in
analogue fault simulation due to a fault-injection-caused increase of the DAE-index. Based …