These days, computer-based simulation is considered the quintessential approach to
exploring new ideas in the different disciplines of science, engineering and technology …

We are concerned with the computation of the L_∞-norm for an L_∞-function of the form
H(s)=C(s)D(s)^-1B(s), where the middle factor is the inverse of a meromorphic matrix-valued …

Learning controllers from data for stabilizing dynamical systems typically follows a two-step
process of first identifying a model and then constructing a controller based on the identified …

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 …

Model order reduction (MOR) methods that are designed to preserve structural features of a
given full order model (FOM) often suffer from a lower accuracy when compared to their non …

Skew-Hamiltonian/Hamiltonian matrix pencils λ S—H appear in many applications,
including linear-quadratic optimal control problems, H∞-optimization, certain multibody …

In this work we revisit the linear-quadratic optimal control problem for differential-algebraic
systems on the infinite time horizon with zero terminal state. Based on the recently …

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 present a new balancing-based structure-preserving model reduction technique for
linear port-Hamiltonian descriptor systems. The proposed method relies on a modification of …

As a subclass of stochastic differential games with algebraic constraints, this article studies
dynamic noncooperative games where the dynamics are described by Markov jump …