Detail publikace

Исследование динамики одной слабонелинейной системы с запаздыванием

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

Originální název

Исследование динамики одной слабонелинейной системы с запаздыванием

Anglický název

Investigation of dynamics of one weakly nonlinear system with delay

Typ

článek v časopise - ostatní, Jost

Jazyk

ruština

Originální abstrakt

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).

Anglický abstrakt

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).

Klíčová slova

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

Klíčová slova v angličtině

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

Autoři

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

Vydáno

26. 2. 2018

Místo

Kyjev, Ukrajina

ISSN

0572-2691

Periodikum

Проблемы управления и нфоматики

Ročník

2018

Číslo

1

Stát

Ukrajina

Strany od

22

Strany do

37

Strany počet

16

BibTex

@article{BUT146153,
  author="Jaromír {Baštinec} and Josef {Diblík} and Andrej {Shatyrko} and Denys {Khusainov}",
  title="Исследование динамики одной слабонелинейной системы с запаздыванием",
  journal="Проблемы  управления и нфоматики",
  year="2018",
  volume="2018",
  number="1",
  pages="22--37",
  issn="0572-2691"
}