In this paper, popular model reduction techniques from the fields of structural dynamics,
numerical mathematics and systems and control are reviewed and compared. The …

In this paper we review the state of affairs in the area of approximation of large-scale
systems. We distinguish three basic categories, namely the {SVD}-based, the {Krylov}-based …

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 …

Robustness is often of crucial importance in control system design. Real engineering
systems are vulnerable to external disturbance and measurement noise and there are …

Balanced truncation is one of the most common model reduction schemes. In this note, we
present a survey of balancing related model reduction methods and their corresponding …

Modern methods of filter design and controller design often yield systems of very high order,
posing a problem for their implementation. Over the past two decades or so, sophisticated …

In this paper, a new frequency-weighted model reduction method with an a priori error
bound is proposed. The method is a generalization of Enns' technique (1984) and yields …

Shows by an example that Enns'(1984) frequency weighted balanced reduction procedure
when applied to a scalar stable transfer function with input and output weights can result in …

This text contains a comprehensive discussion of continuous and discrete time signals and
systems with many examples from MATLAB--software used to write efficient, compact …

Weintroduce balancing-based model order reduction (MOR) techniques for large-scale
dynamical systems. We emphasize the efficient implementation of state-of-the-art techniques …