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Exponential stability and estimation of solutions of linear differential systems of neutral type with constant coefficients

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F10%3APU88237" target="_blank" >RIV/00216305:26220/10:PU88237 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Exponential stability and estimation of solutions of linear differential systems of neutral type with constant coefficients

  • Original language description

    Linear systems of neutral type differential equations with constant coefficients and a constant delay are considered. We find an estimate of the norm of a solution ofthis problem. We use Lyapunov-Krasovskii quadratic type functionals, where dependent onthe coordinates and their derivatives. This functional includes an exponential factor, which makes it possible, in the case of instability, to get an estimate of the "divergence" of solutions.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2010

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    10 th International Summer School " Laypunov's Functions and Their Applications".

  • ISBN

    978-966-491-137-2

  • ISSN

  • e-ISSN

  • Number of pages

    2

  • Pages from-to

  • Publisher name

    University of Tavrida

  • Place of publication

    Simferopol

  • Event location

    Alušta, Krym

  • Event date

    Sep 13, 2010

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article