In the last decade the use of differential-algebraic equations (DAE's) has become standard
modeling practice in many applications, such as constrained mechanics and chemical …

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

We discuss the numerical solution and perturbation theory for the generalized continuous-
time Lyapunov equation E* XA+ A* XE=− G with a singular matrix E. If this equation has a …

Over the last decade there has been a considerable amount of research on numerical and
analytic aspects of linear and nonlinear differential algebraic equations (DAEs) F (x', x, t, u) …

Deskriptorsysteme bilden ein allgemeines mathematisches Konzept für die Modellierung,
Simulation und Regelung von komplexen dynamischen Systemen in vielen Gebieten der …

In this thesis we discuss the numerical integration of general quasi-linear differential-
algebraic equations (DAEs) in view of the numerical simulation of multibody systems. Based …

Classical stability properties of solutions that are well-known for ordinary differential
equations (ODEs) are generalized to differential-algebraic equations (DAEs). A new test …

Lyapunov and exponential dichotomy spectral theory is extended from ordinary differential
equations (ODEs) to nonautonomous differential-algebraic equations (DAEs). By using …

This paper is addressed to some questions concerning the exponential stability and its
robustness measure for linear time-varying differential-algebraic systems of index 1. First …

Local stability of periodic solutions is established by means of a Floquet theory for index-1
differential algebraic equations. Linear differential algebraic equations with periodic …