Numerical reconstruction of the HOSVD based canonical form of polytopic dynamic models

L. Szeidl, P. Baranyi, Zoltán Petres, P. Várlaki

Research output: Chapter in Book/Report/Conference proceedingConference contribution

31 Citations (Scopus)

Abstract

The main objective of the paper is to introduce how the concept of tensor HOSVD can be carried over to the TP (Tensor Product) dynamic models. We term this decomposition as HOSVD based canonical form of TP model or polytopic model form. The key idea and the basic concept of this decomposition was proposed recently with the TP model transformation based control design methodology. The novelty of this paper is to present the mathematical background of this concept. The paper shows convergency theorems how the TP model transformation is capable of reconstructing this HOSVD based canonical form numerically.

Original languageEnglish
Title of host publicationISCIII'07: 3rd International Symposium on Computational Intelligence and Intelligent Informatics; Proceedings
Pages111-116
Number of pages6
DOIs
Publication statusPublished - 2007
EventISCIII'07: 3rd International Symposium on Computational Intelligence and Intelligent Informatics - Agadir, Morocco
Duration: Mar 28 2007Mar 30 2007

Other

OtherISCIII'07: 3rd International Symposium on Computational Intelligence and Intelligent Informatics
CountryMorocco
CityAgadir
Period3/28/073/30/07

Fingerprint

Product Model
Canonical form
Tensor Product
Tensors
Dynamic models
Dynamic Model
Model Transformation
Decompose
Decomposition
Control Design
Design Methodology
Tensor
Term
Theorem
Concepts

Keywords

  • HOSVD
  • Linear matrix inequalities (LMI)
  • Polytopic dynamic model
  • TP models

ASJC Scopus subject areas

  • Artificial Intelligence
  • Software
  • Mathematics(all)

Cite this

Szeidl, L., Baranyi, P., Petres, Z., & Várlaki, P. (2007). Numerical reconstruction of the HOSVD based canonical form of polytopic dynamic models. In ISCIII'07: 3rd International Symposium on Computational Intelligence and Intelligent Informatics; Proceedings (pp. 111-116). [4218405] https://doi.org/10.1109/ISCIII.2007.367372

Numerical reconstruction of the HOSVD based canonical form of polytopic dynamic models. / Szeidl, L.; Baranyi, P.; Petres, Zoltán; Várlaki, P.

ISCIII'07: 3rd International Symposium on Computational Intelligence and Intelligent Informatics; Proceedings. 2007. p. 111-116 4218405.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Szeidl, L, Baranyi, P, Petres, Z & Várlaki, P 2007, Numerical reconstruction of the HOSVD based canonical form of polytopic dynamic models. in ISCIII'07: 3rd International Symposium on Computational Intelligence and Intelligent Informatics; Proceedings., 4218405, pp. 111-116, ISCIII'07: 3rd International Symposium on Computational Intelligence and Intelligent Informatics, Agadir, Morocco, 3/28/07. https://doi.org/10.1109/ISCIII.2007.367372
Szeidl L, Baranyi P, Petres Z, Várlaki P. Numerical reconstruction of the HOSVD based canonical form of polytopic dynamic models. In ISCIII'07: 3rd International Symposium on Computational Intelligence and Intelligent Informatics; Proceedings. 2007. p. 111-116. 4218405 https://doi.org/10.1109/ISCIII.2007.367372
Szeidl, L. ; Baranyi, P. ; Petres, Zoltán ; Várlaki, P. / Numerical reconstruction of the HOSVD based canonical form of polytopic dynamic models. ISCIII'07: 3rd International Symposium on Computational Intelligence and Intelligent Informatics; Proceedings. 2007. pp. 111-116
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