Publisher DOI: 10.1016/j.ifacol.2023.10.314
Title: An approach to structured multilinear modeling with relaxed Boolean output functions
Language: English
Authors: Engels, Marah 
Lichtenberg, Gerwald  
Knorn, Steffi 
Editor: Ishii, Hideaki 
Ebihara, Yoshio 
Imura, Jun-ichi 
Yamakita, Masaki 
Keywords: Boolean differentials; ternary vector lists; Zhegalkin polynomials; model structure reduction; multilinear models; tensor decomposition
Issue Date: 22-Nov-2023
Publisher: Elsevier
Book title: 22nd IFAC World Congress: Yokohama, Japan, July 9-14, 2023 : International Federation of Automatic Control World Congress ; proceedings
Journal or Series Name: IFAC-PapersOnLine 
Volume: 56
Issue: 2
Startpage: 7920
Endpage: 7925
Conference: International Federation of Automatic Control World Congress 2023 
Abstract: 
A new structured network modeling approach based on binary node indexing and Boolean differentials is introduced. Orthogonal ternary vector lists serve as a structured representation of the model's state dynamics. Tensor decomposition methods are enabled by relaxation to continuous Zhegalkin polynomials due to their inherently multilinear nature. A periodic example is used to demonstrate how a low-dimensional state space can provide a large number of linearly independent outputs.
URI: http://hdl.handle.net/20.500.12738/14413
ISSN: 2405-8963
Review status: This version was peer reviewed (peer review)
Institute: Department Medizintechnik 
Fakultät Life Sciences 
Department Verfahrenstechnik 
Type: Chapter/Article (Proceedings)
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