Asymptotic properties of delayed matrix exponential function via Lambert function
The result's identifiers
Result code in 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>
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
Asymptotic properties of delayed matrix exponential function via Lambert function
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
ISSN
1531-3492
e-ISSN
1553-524X
Volume of the periodical
72
Issue of the periodical within the volume
10
Country of publishing house
US - UNITED STATES
Number of pages
22
Pages from-to
123-144
UT code for WoS article
000418480600009
EID of the result in the Scopus database
2-s2.0-85034059105