Publication result detail

Исследование динамики одной слабонелинейной системы с запаздыванием

BAŠTINEC, J.; DIBLÍK, J.; SHATYRKO, A.; KHUSAINOV, D.

Original Title

Исследование динамики одной слабонелинейной системы с запаздыванием

English Title

Investigation of dynamics of one weakly nonlinear system with delay

Type

Peer-reviewed article not indexed in WoS or Scopus

Original Abstract

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).

English abstract

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 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).

Keywords

математическая модель, динамикa нейронной сети, системa дифференциальных уравнений с запаздыванием, прямой метод Ляпунова, aсимптотическaя устойчивост

Key words in English

mathematical model, dynamics of neural networks, system of differential equations with delay, direct method of Lyapunov, asymptotic stability

Authors

BAŠTINEC, J.; DIBLÍK, J.; SHATYRKO, A.; KHUSAINOV, D.

RIV year

2019

Released

26.02.2018

Location

Kyjev, Ukrajina

ISBN

0572-2691

Periodical

Проблемы управления и нфоматики

Volume

2018

Number

1

State

Ukraine

Pages from

22

Pages to

37

Pages count

16

BibTex

@article{BUT146153,
  author="Jaromír {Baštinec} and Josef {Diblík} and Andrej {Shatyrko} and Denys {Khusainov}",
  title="Investigation of dynamics of one weakly nonlinear system with delay",
  journal="Проблемы  управления и нфоматики",
  year="2018",
  volume="2018",
  number="1",
  pages="22--37",
  issn="0572-2691"
}