Asymptotic Behavior of the Delayed Matrix Exponential Function
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26620%2F18%3APU129230" target="_blank" >RIV/00216305:26620/18:PU129230 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1063/1.5044021" target="_blank" >https://doi.org/10.1063/1.5044021</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1063/1.5044021" target="_blank" >10.1063/1.5044021</a>
Alternative languages
Result language
angličtina
Original language name
Asymptotic Behavior of the Delayed Matrix Exponential Function
Original language description
The paper discusses asymptotic behaviors of the delayed matrix exponential, delayed matrix sine and delayed matrix cosine. Such functions were defined in connection with a formalization of the step method for linear systems of differential equations with a constant delay r. The above matrix functions are defined by matrix polynomials on every interval [(k - 1)τ, kτ), where k = 0, 1, . . . and τ > 0. To investigate the asymptotic behavior of the delayed matrix functions, the main branch of the Lambert function is used.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
<a href="/en/project/LQ1601" target="_blank" >LQ1601: CEITEC 2020</a><br>
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
Article name in the collection
INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2017)
ISBN
978-0-7354-1690-1
ISSN
0094-243X
e-ISSN
—
Number of pages
4
Pages from-to
„430006-1“-„430006-4“
Publisher name
American Institute of Physics
Place of publication
AMER INST PHYSICS, 2 HUNTINGTON QUADRANGLE, STE
Event location
Thessaloniki (Soluň)
Event date
Sep 25, 2017
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
000445105400336