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Krylov Subspace Methods for Model Order Reduction of Bilinear Discrete‐Time Control Systems
Author(s) -
Benner Peter,
Breiten Tobias,
Damm Tobias
Publication year - 2010
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201010293
Subject(s) - reduction (mathematics) , krylov subspace , model order reduction , bilinear interpolation , projection (relational algebra) , subspace topology , order (exchange) , discrete time and continuous time , transfer function , control theory (sociology) , computer science , discrete system , control (management) , mathematics , mathematical optimization , algorithm , engineering , artificial intelligence , iterative method , statistics , geometry , finance , electrical engineering , economics
In this paper, we propose a projection technique for model order reduction of discrete‐time bilinear control systems based on the concept of so‐called multimoments. We will make use of an explicit solution formula of the system and consider its Z‐transform which allows us to characterize the system output by generalized transfer functions. (© 2010 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)