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In this paper we consider structure-preserving model reduction of second-order systems using a balanced truncation approach. Several sets of singular values are introduced for such systems, which lead to different concepts of balancing and different second-order balanced truncation methods. A...
Two reduction methods for passive second-order systems are presented, preserving not only the second-order structure but also the passivity of the original system. The first method is based on applying a projection directly to the second-order system using a second-order Krylov subspace. To...
In this paper we present a numerically stable method for the model order reduction of finite element (FE) approximations to passive microwave structures parameterized by polynomials in several variables. The proposed method is a projection-based approach using Krylov subspaces and extends the...
This paper presents Krylov-based model order reduction based on the Laguerre description of the system's transfer function. Starting from the Laguerre-based reduction method for state space systems, two extensions are proposed for the reduction of systems of second-order structures. In addition,...
This article outlines two approaches for the computation of a suitable low order controller if a linear discrete-time control system with a high order controller is given. Actually this step is of significant importance in the case of the so-called Q-design procedure and especially in l...
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