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

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F19%3APU132439" target="_blank" >RIV/00216305:26220/19:PU132439 - isvavai.cz</a>

Výsledek na webu

<a href="https://mendel-journal.org/index.php/mendel/article/view/94" target="_blank" >https://mendel-journal.org/index.php/mendel/article/view/94</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.13164/mendel.2019.1.165" target="_blank" >10.13164/mendel.2019.1.165</a>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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 dierent systems. These approximations are evaluated with the help of the quadratic error criterion. It is shown that the results dier for the two chosen systems. The reason behind this is explained with the help of the Laguerre functions' properties and the initial value theorem.

Název v anglickém jazyce

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

Popis výsledku anglicky

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 dierent systems. These approximations are evaluated with the help of the quadratic error criterion. It is shown that the results dier for the two chosen systems. The reason behind this is explained with the help of the Laguerre functions' properties and the initial value theorem.

Druh

J_ost - Ostatní články v recenzovaných periodicích

CEP obor

—

OECD FORD obor

20205 - Automation and control systems

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2019

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Mendel Journal series

ISSN

1803-3814

e-ISSN

—

Svazek periodika

25

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

CZ - Česká republika

Počet stran výsledku

6

Strana od-do

165-170

Kód UT WoS článku

—

EID výsledku v databázi Scopus

—