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Numerical Linear Algebra for Model Reduction in Control and Simulation
Author(s) -
Benner Peter
Publication year - 2006
Publication title -
gamm‐mitteilungen
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.239
H-Index - 18
eISSN - 1522-2608
pISSN - 0936-7195
DOI - 10.1002/gamm.201490034
Subject(s) - reduction (mathematics) , computer science , linear algebra , range (aeronautics) , model order reduction , dynamical systems theory , linear system , control (management) , theoretical computer science , algebra over a field , mathematics , computational science , algorithm , engineering , artificial intelligence , aerospace engineering , pure mathematics , projection (relational algebra) , mathematical analysis , physics , geometry , quantum mechanics
Model reduction is an ubiquitous tool in analysis and simulation of dynamical systems, control design, circuit simulation, structural dynamics, CFD, etc. In the past decades many approaches have been developed for reducing the order of a given model. Often these methods have been derived in parallel in different disciplines with particular applications in mind. We will discuss some of the most prominent methods used for linear systems, compare their properties and highlight similarities. In particular, we will emphasize the role of recent developments in numerical linear algebra in the different approaches. Efficiently using these new techniques, the range of applicability of some of the methods has considerably widened. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)