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 …

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 …

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 …

The exponential function that appears in the formula of the stability radius of linear time-
delay differential systems is approximated by its Padé approximant. This reduces the …

We propose a new approach to computing global minimizers of singular value functions in
two real variables. Specifically, we present new algorithms to compute the Kreiss constant of …

The periodic QZ (pQZ) algorithm is the key solver in many applications, including periodic
systems, cyclic matrices and matrix pencils, and solution of skew-Hamiltonian/Hamiltonian …