Differential-algebraic equations (DAEs) provide an essential tool for system modeling and
analysis within different fields of applied sciences and engineering. This book addresses …

This paper surveys different analytical aspects of differential-algebraic models of electrical
and electronic circuits. The use of DAEs in circuit modelling has increased in the last two …

We assume that differential-algebraic equations (DAEs) and their more abstract versions in
infinite-dimensional spaces comprise great potential for future mathematical modeling. To …

In this paper we discuss the stability and model order reduction of coupled linear time-
invariant descriptor systems. Sufficient conditions for the asymptotic stability of a closed-loop …

In this paper we give an overview of model order reduction techniques for coupled systems.
We consider linear time-invariant control systems that are coupled through input-output …

Modeling electric circuits that contain magnetoquasistatic (MQS) devices leads to a coupled
system of differential-algebraic equations (DAEs). In our case, the MQS device is described …

Existence and uniqueness of generalized solutions to initial value problems for a class of
abstract differential-algebraic equations (DAEs) is shown. The class of equations covers, in …

We present a unified modeling approach for different types of flow networks, for instance
electric circuits, water and gas supplying networks. In all cases the flow network is described …

In this thesis, optimal feedback control for nonlinear descriptor systems is studied. A
descriptor system is a mathematical description that can include both differential and …

In this thesis, different topics for models that consist of both differential and algebraic
equations are studied. The interest in such models, denoted DAE models, have increased …