Dynamical systems are at the core of computational models for a wide range of complex
phenomena and, as a consequence, the simulation of dynamical systems has become a …

We present a framework for constructing structured realizations of linear dynamical systems
having transfer functions of the form C˜(∑ k= 1 K hk (s) A˜ k)− 1 B˜ where h 1, h 2,..., h K are …

We present a data-driven realization for systems with delay, which generalizes the Loewner
framework. The realization is obtained with low computational cost directly from measured …

In this thesis, structure-preserving model order reduction for dynamical systems is studied.
The particular focus lies on mechanical systems described by differential equations with …

In this paper, we extendthe structure-preserving interpolatory model reduction framework,
originally developed for linear systems, to structured bilinear control systems. Specifically …

Transport-dominated systems are characterized by the propagation of waves and occur in
many applications such as aerodynamics and chemical engineering. To predict the …

In this paper, we present a novel method for approximating bilinear time-delay systems by
bilinear systems with no delay. This is performed by means of matching some input-output …

In this paper, we present a data-driven approach to identify second-order systems, having
internal Rayleigh dam**. This means that the dam** matrix is given as a linear …

Well-Posedness and Realization Theory for Delay Differential-Algebraic Equations Page 1
WELL-POSEDNESS AND REALIZATION THEORY FOR DELAY DIFFERENTIAL-ALGEBRAIC …

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 …