Detail publikačního výsledku

Properties of Simple and Generalized Laguerre Functions for Time-delay System Approximations

ZSITVA, N.

Originální název

Properties of Simple and Generalized Laguerre Functions for Time-delay System Approximations

Anglický název

Properties of Simple and Generalized Laguerre Functions for Time-delay System Approximations

Druh

Článek recenzovaný mimo WoS a Scopus

Originální abstrakt

The properties of the simple and generalized Laguerre functions for time-invariant system approxi- mations are discussed. The expressions for these functions are presented and the differences between them are shown. The approximations heavily depend on the free parameters of the Laguerre functions. Because of this, the optimal choice of these parameters is described for both the simple and the generalized functions. This assures that the results are satisfactory. The approximations are shown on two di erent systems. These approximations are evaluated with the help of the quadratic error criterion. It is shown that the results di er for the two chosen systems. The reason behind this is explained with the help of the Laguerre functions' properties and the initial value theorem.

Anglický abstrakt

The properties of the simple and generalized Laguerre functions for time-invariant system approxi- mations are discussed. The expressions for these functions are presented and the differences between them are shown. The approximations heavily depend on the free parameters of the Laguerre functions. Because of this, the optimal choice of these parameters is described for both the simple and the generalized functions. This assures that the results are satisfactory. The approximations are shown on two di erent systems. These approximations are evaluated with the help of the quadratic error criterion. It is shown that the results di er for the two chosen systems. The reason behind this is explained with the help of the Laguerre functions' properties and the initial value theorem.

Klíčová slova

Laguerre functions, time-delay system, system approximation, optimal free parameters, impulse response, transfer function

Klíčová slova v angličtině

Laguerre functions, time-delay system, system approximation, optimal free parameters, impulse response, transfer function

Autoři

ZSITVA, N.

Rok RIV

2020

Vydáno

24.06.2019

Nakladatel

Brno University of Technology

Místo

Brno

Kniha

Mendel Soft Computing Journal

ISSN

1803-3814

Periodikum

Mendel Journal series

Svazek

25

Číslo

1

Stát

Česká republika

Strany od

165

Strany do

170

Strany počet

6

URL

https://mendel-journal.org/index.php/mendel/article/view/94

BibTex

@article{BUT157450,
  author="Norbert {Zsitva}",
  title="Properties of Simple and Generalized Laguerre Functions for Time-delay System Approximations",
  journal="Mendel Journal series",
  year="2019",
  volume="25",
  number="1",
  pages="165--170",
  doi="10.13164/mendel.2019.1.165",
  issn="1803-3814",
  url="https://mendel-journal.org/index.php/mendel/article/view/94"
}