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Detail publikačního výsledku
KHUSAINOV, D.; DIBLÍK, J.; BAŠTINEC, J.; SHATYRKO, A.
Original Title
Investigating dynamics of one weakly nonlinear system with delay argument
English Title
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
Keywords
weakly nonlinear system, neural networks dynamics, system of differential equations with a time-delay argument, Lyapunov direct method
Key words in English
Authors
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
http://hdl.handle.net/
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" }