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BAŠTINEC, J. DIBLÍK, J. SHATYRKO, A. KHUSAINOV, D.
Original Title
Исследование динамики одной слабонелинейной системы с запаздыванием
English Title
Investigation of dynamics of one weakly nonlinear system with delay
Type
journal article - other
Language
Russian
Original Abstract
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).
English abstract
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).
Keywords
математическая модель, динамикa нейронной сети, системa дифференциальных уравнений с запаздыванием, прямой метод Ляпунова, aсимптотическaя устойчивост
Key words in English
mathematical model, dynamics of neural networks, system of differential equations with delay, direct method of Lyapunov, asymptotic stability
Authors
BAŠTINEC, J.; DIBLÍK, J.; SHATYRKO, A.; KHUSAINOV, D.
Released
26. 2. 2018
Location
Kyjev, Ukrajina
ISBN
0572-2691
Periodical
Проблемы управления и нфоматики
Year of study
2018
Number
1
State
Ukraine
Pages from
22
Pages to
37
Pages count
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" }