Benner, PeterBreiten, TobiasDamm, TobiasMax-Planck-Institut für Dynamik Komplexer Technischer Systeme2025-05-292010https://epflicht.bibliothek.uni-halle.de/handle/123456789/3853870173731urn:nbn:de:gbv:3:2-637772480136Abstract: In this paper, we discuss a model order reduction method for multiple-input and multiple-output discrete-time bilinear control systems. Similar to the continuous-time case, we will show that a system can be characterized by a series of generalized transfer functions. This will be achieved by a multivariate Z-transform of kernels corresponding to an explicit solution formula for discrete-time systems. We will further address the problem of generalized tangential interpolation which naturally comes along with this approach. We will introduce a reasonable generalization of the linear H2-norm. Based on this concept, we discuss the choice of interpolation points. Furthermore, an efficient discretization of continuous-time systems is provided. The performance of the proposed method is evaluated by means of some numerical examples and compared with the method of balanced truncation for bilinear systems.1 Online-Ressource (15 Seiten = 0,83 MB) : Diagrammeenghttp://rightsstatements.org/vocab/InC/1.0/510Book