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Detail publikace
BAŠTINEC, J. DIBLÍK, J. SHATYRKO, A. KHUSAINOV, D.
Originální název
Исследование динамики одной слабонелинейной системы с запаздыванием
Anglický název
Investigation of dynamics of one weakly nonlinear system with delay
Typ
článek v časopise - ostatní, Jost
Jazyk
ruština
Originální abstrakt
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).
Anglický abstrakt
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).
Klíčová slova
математическая модель, динамикa нейронной сети, системa дифференциальных уравнений с запаздыванием, прямой метод Ляпунова, aсимптотическaя устойчивост
Klíčová slova v angličtině
mathematical model, dynamics of neural networks, system of differential equations with delay, direct method of Lyapunov, asymptotic stability
Autoři
BAŠTINEC, J.; DIBLÍK, J.; SHATYRKO, A.; KHUSAINOV, D.
Vydáno
26. 2. 2018
Místo
Kyjev, Ukrajina
ISSN
0572-2691
Periodikum
Проблемы управления и нфоматики
Ročník
2018
Číslo
1
Stát
Ukrajina
Strany od
22
Strany do
37
Strany počet
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" }