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AdvancesinAppliedMathematicsA^êÆ?Ð,2022,11(9),6827-6834
PublishedOnlineSeptember2022inHans.http://www.hanspub.org/journal/aam
https://doi.org/10.12677/aam.2022.119723
Äug·A››CXêÈ©ž¢ ²ä
ÓÚ
HHH###ŒŒŒ§§§444)))
þ°“‰ŒÆêÆX§þ°
ÂvFϵ2022c826F¶¹^Fϵ2022c921F¶uÙFϵ2022c928F
Á‡
©ïÄ˜«‘kCXêÈ©ž¢. ²ä."|^•¼‡©•§Lyapunov-
Lasalln§äÄug·A››-½5•â"•§ÏLêŠ[é¤(Ø?1
y"
'…c
ž¢ ²ä§ÓÚ§Lyapunov-Lasalln§g·A››§žCò´
SynchronizationofVariableCoefficient
IntegralTime-DelayNeuralNetworks
BasedonAdaptiveControl
LingyuGuo,BaoshengLiu
DepartmentofMathematics,ShanghaiNormalUniversity,Shanghai
Received:Aug.26
th
,2022;accepted:Sep.21
st
,2022;published:Sep.28
th
,2022
©ÙÚ^:H#Œ,4).Äug·A››CXêÈ©ž¢ ²äÓÚ[J].A^êÆ?Ð,2022,11(9):
6827-6834.DOI:10.12677/aam.2022.119723
H#Œ§4)
Abstract
Inthispaper,avariablecoefficientintegralneuralnetworkwithtimedelayiscon-
sidered.ByusingLyapunov-Lasallprincipleoffunctionaldifferentialequations,we
obtainthecriterionofstabilitybasedonadaptivecontrol.Finally,weverifyour
conclusionbynumericalsimulation.
Keywords
Time-DelayedNeuralNetwork,Synchronization,Lyapunov-LasallPrinciple,
AdaptiveControl,Time-VaryingDelay
Copyright
c
2022byauthor(s)andHansPublishersInc.
This work is licensed undertheCreative Commons Attribution InternationalLicense(CCBY4.0).
http://creativecommons.org/licenses/by/4.0/
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DOI:10.12677/aam.2022.1197236828A^êÆ?Ð
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DOI:10.12677/aam.2022.1197236829A^êÆ?Ð
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DOI:10.12677/aam.2022.1197236830A^êÆ?Ð
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−y
2
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2
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exp(0.0065),
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b
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exp(0.0065),
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1
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3
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1
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−y
2
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exp(0.0065),
DOI:10.12677/aam.2022.1197236831A^êÆ?Ð
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·‚Щ^‡Xeµ
a
1
(0) = −0.2;a
2
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b
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dꊕý(JL²§TXÚU¤õ¢yg·AÓÚÚëêE£(„ã1)"
Figure1.RobustsynchronizationofFCNNwithdelays
(3.1)andcontrolledslavesystem(3.2).
ã1.‘ò´‘FCNN°•ÓÚ(3.1)ÚlXÚ(3.2)
Figure2.Evolutionofsynchronizationerrorse
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asymptoticallyachieveto0.
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DOI:10.12677/aam.2022.1197236832A^êÆ?Ð
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ë•©z
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