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

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

35 Citations (Scopus)

Abstract

The main objective of the paper is to introduce how the concept of tensor HOSVD can be carried over to the class of multi-variable TP (Tensor Product) functions, namely, how we can define and generate the "HOSVD like" decomposition of TP functions and define it as the HOSVD based canonical 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.

Original languageEnglish
Title of host publicationINES 2006: 10th International Conference on Intelligent Engineering Systems 2006
Pages196-201
Number of pages6
Publication statusPublished - 2006
EventINES 2006: 10th International Conference on Intelligent Engineering Systems 2006 - London, United Kingdom
Duration: Jun 26 2006Jun 28 2006

Other

OtherINES 2006: 10th International Conference on Intelligent Engineering Systems 2006
CountryUnited Kingdom
CityLondon
Period6/26/066/28/06

Fingerprint

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

ASJC Scopus subject areas

  • Artificial Intelligence
  • Software
  • Applied Mathematics
  • Theoretical Computer Science

Cite this

Baranyi, P., Szeidl, L., & Várlaki, P. (2006). Numerical reconstruction of the HOSVD based canonical form of polytopic dynamic models. In INES 2006: 10th International Conference on Intelligent Engineering Systems 2006 (pp. 196-201). [1689368]

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

INES 2006: 10th International Conference on Intelligent Engineering Systems 2006. 2006. p. 196-201 1689368.

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

Baranyi, P, Szeidl, L & Várlaki, P 2006, Numerical reconstruction of the HOSVD based canonical form of polytopic dynamic models. in INES 2006: 10th International Conference on Intelligent Engineering Systems 2006., 1689368, pp. 196-201, INES 2006: 10th International Conference on Intelligent Engineering Systems 2006, London, United Kingdom, 6/26/06.
Baranyi P, Szeidl L, Várlaki P. Numerical reconstruction of the HOSVD based canonical form of polytopic dynamic models. In INES 2006: 10th International Conference on Intelligent Engineering Systems 2006. 2006. p. 196-201. 1689368
Baranyi, P. ; Szeidl, L. ; Várlaki, P. / Numerical reconstruction of the HOSVD based canonical form of polytopic dynamic models. INES 2006: 10th International Conference on Intelligent Engineering Systems 2006. 2006. pp. 196-201
@inproceedings{e8cda412ee044a20bbcc6e8897ac1a26,
title = "Numerical reconstruction of the HOSVD based canonical form of polytopic dynamic models",
abstract = "The main objective of the paper is to introduce how the concept of tensor HOSVD can be carried over to the class of multi-variable TP (Tensor Product) functions, namely, how we can define and generate the {"}HOSVD like{"} decomposition of TP functions and define it as the HOSVD based canonical 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.",
author = "P. Baranyi and L. Szeidl and P. V{\'a}rlaki",
year = "2006",
language = "English",
isbn = "0780397088",
pages = "196--201",
booktitle = "INES 2006: 10th International Conference on Intelligent Engineering Systems 2006",

}

TY - GEN

T1 - Numerical reconstruction of the HOSVD based canonical form of polytopic dynamic models

AU - Baranyi, P.

AU - Szeidl, L.

AU - Várlaki, P.

PY - 2006

Y1 - 2006

N2 - The main objective of the paper is to introduce how the concept of tensor HOSVD can be carried over to the class of multi-variable TP (Tensor Product) functions, namely, how we can define and generate the "HOSVD like" decomposition of TP functions and define it as the HOSVD based canonical 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.

AB - The main objective of the paper is to introduce how the concept of tensor HOSVD can be carried over to the class of multi-variable TP (Tensor Product) functions, namely, how we can define and generate the "HOSVD like" decomposition of TP functions and define it as the HOSVD based canonical 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.

UR - http://www.scopus.com/inward/record.url?scp=34547280903&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34547280903&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:34547280903

SN - 0780397088

SN - 9780780397088

SP - 196

EP - 201

BT - INES 2006: 10th International Conference on Intelligent Engineering Systems 2006

ER -