Asymptotic properties of delayed matrix exponential function via Lambert function

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26620%2F18%3APU129226" target="_blank" >RIV/00216305:26620/18:PU129226 - isvavai.cz</a>

Výsledek na webu

<a href="http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=14696" target="_blank" >http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=14696</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3934/dcdsb.2018008" target="_blank" >10.3934/dcdsb.2018008</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Asymptotic properties of delayed matrix exponential function via Lambert function

Popis výsledku v původním jazyce

In the case of first-order linear systems with single constant delay and with constant matrix, the application of the well-known step by step method (when ordinary diffrential equations with delay are solved) has recently been formalized using a special type matrix, called delayed matrix exponential. In the paper, the asymptotic properties of delayed matrix exponential are studied for and it is, e.g., proved that the sequence of values of a delayed matrix exponential at nodes is approximately represented by a geometric progression. A constant matrix has been found such that its matrix exponential is the quotient factor that depends on the principal branch of the Lambert function. Applications of the results obtained are given as well.

Název v anglickém jazyce

Asymptotic properties of delayed matrix exponential function via Lambert function

Popis výsledku anglicky

In the case of first-order linear systems with single constant delay and with constant matrix, the application of the well-known step by step method (when ordinary diffrential equations with delay are solved) has recently been formalized using a special type matrix, called delayed matrix exponential. In the paper, the asymptotic properties of delayed matrix exponential are studied for and it is, e.g., proved that the sequence of values of a delayed matrix exponential at nodes is approximately represented by a geometric progression. A constant matrix has been found such that its matrix exponential is the quotient factor that depends on the principal branch of the Lambert function. Applications of the results obtained are given as well.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2018

Kód důvěrnosti údajů

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

Název periodika

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B

ISSN

1531-3492

e-ISSN

1553-524X

Svazek periodika

72

Číslo periodika v rámci svazku

10

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

22

Strana od-do

123-144

Kód UT WoS článku

000418480600009

EID výsledku v databázi Scopus

2-s2.0-85034059105