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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

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • 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