Methods for the approximation of large-scale dynamical systems will be surveyed. There are
mainly two families namely, the SVD-based and Krylov-based approximation methods. The …

We discuss the modelling framework of port-Hamiltonian descriptor systems and their use in
numerical simulation and control. The structure is ideal for automated network-based …

Engineering large structure systems are dynamic, high-dimensional and have a wide range
of physical mechanism interconnections. Analyzing the dynamic behavior of complex …

In today's technological world, physical and artificial processes are mainly described by
mathematical models, which can be used for simulation or control. These processes are …

Thank you for opening the third edition of this monograph, dedicated to dissipative linear or
nonlinear, autonomous or time-varying, smooth or nonsmooth, single-valued or set-valued …

The model reduction problem for (single-input, single-output) linear and nonlinear systems
is addressed using the notion of moment. A re-visitation of the linear theory allows to obtain …

Large scale dynamical systems are a common framework for the modeling and control of
many complex phenomena of scientific interest and industrial value, with examples of …

We present a novel model-order reduction (MOR) method for linear time-invariant systems
that preserves passivity and is thus suited for structure-preserving MOR for port-Hamiltonian …

Model reduction of port-Hamiltonian systems by means of the Krylov methods is considered,
aiming at port-Hamiltonian structure preservation. It is shown how to employ the Arnoldi …

An algorithm is developed for passivity preserving model reduction of linear time invariant
systems. Implementation schemes are described for both medium scale (dense) and large …