Detail publikačního výsledku

Investigating dynamics of one weakly nonlinear system with delay argument

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

Originální název

Investigating dynamics of one weakly nonlinear system with delay argument

Anglický název

Investigating dynamics of one weakly nonlinear system with delay argument

Druh

Článek Scopus

Originální abstrakt

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).

Anglický abstrakt

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).

Klíčová slova

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

Klíčová slova v angličtině

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

Autoři

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

Rok RIV

2019

Vydáno

12.11.2018

ISSN

1064-2315

Periodikum

Journal of automation and information Sciences

Svazek

50

Číslo

1

Stát

Spojené státy americké

Strany od

20

Strany do

38

Strany počet

19

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"
}