Detail publikačního výsledku

Investigating dynamics of one weakly nonlinear system with delay argument

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

Original Title

Investigating dynamics of one weakly nonlinear system with delay argument

English Title

Investigating dynamics of one weakly nonlinear system with delay argument

Type

Scopus Article

Original Abstract

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

English abstract

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

Keywords

weakly nonlinear system, neural networks dynamics, system of differential equations with a time-delay argument, Lyapunov direct method

Key words in English

weakly nonlinear system, neural networks dynamics, system of differential equations with a time-delay argument, Lyapunov direct method

Authors

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

RIV year

2019

Released

12.11.2018

ISBN

1064-2315

Periodical

Journal of automation and information Sciences

Volume

50

Number

1

State

United States of America

Pages from

20

Pages to

38

Pages count

19

Full text in the Digital Library

BibTex

@article{BUT153238,
  author="Denys {Khusainov} and Josef {Diblík} and Jaromír {Baštinec} and Andriy {Shatyrko}",
  title="Investigating dynamics of one weakly nonlinear system with delay argument",
  journal="Journal of automation and information Sciences",
  year="2018",
  volume="50",
  number="1",
  pages="20--38",
  doi="10.1615/JAutomatInfScien.v50.i1.20",
  issn="1064-2315"
}