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COMPLEXITY RELAXATION OF THE TENSOR PRODUCT MODEL TRANSFORMATION FOR HIGHER DIMENSIONAL PROBLEMS
Author(s) -
Baranyi Péter,
Petres Zoltén,
Korondi Péter,
Yam Yeung,
Hashimoto Hideki
Publication year - 2007
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1111/j.1934-6093.2007.tb00323.x
Subject(s) - curse of dimensionality , transformation (genetics) , model transformation , tensor product , tensor (intrinsic definition) , relaxation (psychology) , mathematics , mathematical optimization , matrix (chemical analysis) , computer science , singular value decomposition , algorithm , pure mathematics , artificial intelligence , discrete mathematics , consistency (knowledge bases) , psychology , social psychology , biochemistry , chemistry , materials science , composite material , gene
The Tensor Product (TP) model transformation method was proposed recently as an automated gateway between a class of non‐linear models and linear matrix inequality based control design. The core of the TP model transformation is the higher order singular value decomposition of a large sized tensor, which requires high computational power that is usually outside of a regular computer capacity in cases of higher dimensionality. This disadvantage restricts the utilization of the TP model transformation to models having smaller dimensionality. The aim of this paper is to propose a computationally relaxed version of the TP model transformation. The paper also presents a 6 dimensional example to show the effectiveness of the modified transformation.