Different concepts related to controllability of differential-algebraic equations are described.
The class of systems considered consists of linear differential-algebraic equations with …

This survey aims at giving a comprehensive overview of the solution theory of linear
differential-algebraic equations (DAEs). For classical solutions a complete solution …

In the present thesis we consider differential-algebraic equations (DAEs) of the form d dt Ex=
Ax+ f, where E and A are arbitrary matrices. If E has nonzero entries, then derivatives of the …

We investigate different concepts related to observability of linear constant coefficient
differential-algebraic equations. Regularity, which, loosely speaking, guarantees existence …

In this paper we revisit the Kalman–Yakubovich–Popov lemma for differential-algebraic
control systems. This lemma relates the positive semi-definiteness of the Popov function on …

We show that the Kronecker canonical form (which is a canonical decomposition for pairs of
matrices) is the representation of a linear relation in a finite dimensional space. This …

Given a linear subspace B of the n× n matrices over some field F, we consider the following
problems: symbolic matrix rank (SMR) asks to determine the maximum rank among matrices …

This thesis considers the linear-quadratic optimal control problem for differential-algebraic
systems. In this first part, a complete theoretical analysis of this problem is presented. The …

A survey of methods from numerical linear algebra for linear constant coefficient differential-
algebraic equations (DAEs) and descriptor control systems is presented. We discuss …

We study linear differential-algebraic control systems and investigate decompositions with
respect to controllability properties. We show that the augmented Wong sequences can be …