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Investigation of dynamics of one weakly nonlinear system with delay

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26620%2F18%3APU127205" target="_blank" >RIV/00216305:26620/18:PU127205 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    ruština

  • Original language name

    Исследование динамики одной слабонелинейной системы с запаздыванием

  • Original language description

    In this paper, we consider a mathematical model of neural network dynamics represented by a system of differential equations with time-delay argument and an asymptotically stable linear part. With the using of the direct Lyapunov method, sufficient conditions for asymptotic stability are obtained and exponential estimates of the decay of solutions are constructed. The results are formulated in the form of matrix algebraic inequalities (using LMI).

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>ost</sub> - Miscellaneous article in a specialist periodical

  • CEP classification

  • OECD FORD branch

    10102 - Applied mathematics

Result continuities

  • Project

    <a href="/en/project/GA16-08549S" target="_blank" >GA16-08549S: Dynamical Systems Identification on Time Scales</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

  • Name of the periodical

    Проблемы управления и нфоматики

  • ISSN

    0572-2691

  • e-ISSN

  • Volume of the periodical

    2018

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    UA - UKRAINE

  • Number of pages

    16

  • Pages from-to

    22-37

  • UT code for WoS article

  • EID of the result in the Scopus database