Detail publikace

Investigating dynamics of one weakly nonlinear system with delay argument

Originální název

Investigating dynamics of one weakly nonlinear system with delay argument

Anglický název

Investigating dynamics of one weakly nonlinear system with delay argument

Jazyk

en

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).

Dokumenty

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",
  annote="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).",
  chapter="153238",
  doi="10.1615/JAutomatInfScien.v50.i1.20",
  howpublished="print",
  number="1",
  volume="50",
  year="2018",
  month="november",
  pages="20--38",
  type="journal article in Scopus"
}