In recent decades, increasingly intensive research attention has been given to dynamical
systems containing delays and those affected by the after-effect phenomenon. Such …

We propose a novel approach for the optimization of the H 2 norm for time-delay systems,
grounded in its characterization in terms of the delay Lyapunov matrix. We show how the …

In this paper, the balanced truncation method is investigated for discrete time-delay systems.
We show that the energy associated with the system controllability and observability can be …

This paper proposes a model order reduction technique for asymptotically stable linear time
delay systems with point-wise delays. The presented delay-dependent approach, which can …

In this paper, the realization-free model approximation problem, as stated in [1],[2], is
revisited in the case where the interpolating model might be time-delay dependent. To this …

Linear dynamical models play an important role in many engineering fields, including
simulation, analysis, optimization and control of complex systems and processes. This role is …

The authors present an integrated approach for designing low‐order multi‐objective
controllers for linear time‐delay systems (TDSs), combining recently developed methods for …

The design and assessment of a two degree of freedom gust load allevi-ation control system
for a business jet aircraft is presented in this paper. The two degrees of freedom are a …

The versatility of data-driven approximation by interpolatory methods, originally settled for
model approximation purpose, is illustrated in the context of linear controller design and …

Abstract Model order reduction methods via low‐rank approximation of Gramians for time‐
delay systems are developed in this paper. The main contribution is to achieve the …