### Abstract

In the framework of the paper a HOSVD-based approach is introduced for LPV model reduction and multidimensional data representation. By these approaches in case of model reduction the system matrix is expressed with the help of a so called core tensor and a system of specially determined polylinear orthonormal functions. Similar approach will be applied also in case of data representation. The paper gives a detailed description on how to determine the polylinear functions and the core tensor and how the model can be expressed and reduced with their help. Furthermore, the HOSVD-based domain proposed for data representation will be compared to the well known frequency domain - related to Fourier transformation - from the point of view of their common application possibilities and their effectiveness.

Original language | English |
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Title of host publication | Applications of Mathematics and Computer Engineering - American Conference on Applied Mathematics, AMERICAN-MATH'11, 5th WSEAS International Conference on Computer Engineering and Applications, CEA'11 |

Pages | 164-169 |

Number of pages | 6 |

Publication status | Published - Jun 17 2011 |

Event | American Conference on Applied Mathematics, AMERICAN-MATH'11, 5th WSEAS International Conference on Computer Engineering and Applications, CEA'11 - Puerto Morelos, Mexico Duration: Jan 29 2011 → Jan 31 2011 |

### Publication series

Name | Applications of Mathematics and Computer Engineering - American Conference on Applied Mathematics, AMERICAN-MATH'11, 5th WSEAS International Conference on Computer Engineering and Applications, CEA'11 |
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### Other

Other | American Conference on Applied Mathematics, AMERICAN-MATH'11, 5th WSEAS International Conference on Computer Engineering and Applications, CEA'11 |
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Country | Mexico |

City | Puerto Morelos |

Period | 1/29/11 → 1/31/11 |

### Fingerprint

### Keywords

- Approximation
- Data representation
- HOSVD
- LPV model reduction
- Numerical reconstruction

### ASJC Scopus subject areas

- Computer Science Applications
- Applied Mathematics

### Cite this

*Applications of Mathematics and Computer Engineering - American Conference on Applied Mathematics, AMERICAN-MATH'11, 5th WSEAS International Conference on Computer Engineering and Applications, CEA'11*(pp. 164-169). (Applications of Mathematics and Computer Engineering - American Conference on Applied Mathematics, AMERICAN-MATH'11, 5th WSEAS International Conference on Computer Engineering and Applications, CEA'11).