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BEREZANSKY, L. DIBLÍK, J. SVOBODA, Z. ŠMARDA, Z.
Originální název
Exponential stability criteria for linear neutral systems with applications to neural networks of neutral type
Typ
článek v časopise ve Web of Science, Jimp
Jazyk
angličtina
Originální abstrakt
Linear neutral vector equations are considered on interval [0, infinity). Here x = (x(1),...,x(n))(T), m is a positive integer, the entries of matrices A(l), l = 0,...,m, P, and the delays h(k), k = 0,...,m, g are assumed to be Lebesgue measurable functions. New explicit criteria are derived on uniform exponential stability. Comparisons are made and discussed based on an overview of the existing results. An application is presented to local exponential stability of non-autonomous neural network models of neutral type.
Klíčová slova
Functional differential equations; time-delay; neural networks
Autoři
BEREZANSKY, L.; DIBLÍK, J.; SVOBODA, Z.; ŠMARDA, Z.
Vydáno
27. 1. 2023
ISSN
0016-0032
Periodikum
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
Ročník
360
Číslo
1
Stát
Spojené státy americké
Strany od
301
Strany do
326
Strany počet
25
URL
https://www-webofscience-com.ezproxy.lib.vutbr.cz/wos/woscc/full-record/WOS:001088958900001
BibTex
@article{BUT185104, author="Leonid {Berezansky} and Josef {Diblík} and Zdeněk {Svoboda} and Zdeněk {Šmarda}", title="Exponential stability criteria for linear neutral systems with applications to neural networks of neutral type", journal="JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS", year="2023", volume="360", number="1", pages="301--326", doi="10.1016/j.jfranklin.2022.11.012", issn="0016-0032", url="https://www-webofscience-com.ezproxy.lib.vutbr.cz/wos/woscc/full-record/WOS:001088958900001" }