The sector stability theorem is an intuitive condition for the stability of feedback loops that
unifies many lines of research including robust control and the theory of passive and …

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 …

In this paper, we propose an improved method for computing the H_∞ norm of linear
dynamical systems that results in a code that is often several times faster than existing …

This chapter is concerned with distance problems for linear time-invariant differential and
differential-algebraic equations. Such problems can be formulated as distance problems for …

Efficient and realible algorithms for finding the L-infinity norm for both continuous-and
discrete-time descriptor systems have been recently developed. These algorithms exploit …

The periodic QZ algorithm involved in the structure-preserving skew-Hamiltonian/
Hamiltonian algorithm is investigated. These are key algorithms for many applications in …

The Sector Stability Theorem is an intuitive condition for the stability of feedback loops that
unifies many lines of research including robust control, passivity theory, dissipativity theory …

The periodic QZ algorithm (pQZ) is required in many applications, including periodic linear
systems, cyclic matrices and matrix pencils, and some structured eigenproblems. The …

The main two algorithms for computing the numerical radius are the level-set method of
Mengi and Overton and the cutting-plane method of Uhlig. Via new analyses, we explain …