Mittag–Leffler synchronization for impulsive fractional-order bidirectional associative memory neural networks via optimal linear feedback control

In this paper, we are concerned with the synchronization scheme for fractional-order bidirectional associative memory (BAM) neural networks, where both synaptic transmission delay and impulsive effect are considered. By constructing Lyapunov functional, sufficient conditions are established to ensur...

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Bibliographic Details
Published inNonlinear analysis (Vilnius, Lithuania) Vol. 26; no. 2; pp. 207 - 226
Main Authors Lin, Jiazhe, Xu, Rui, Li, Liangchen
Format Journal Article
LanguageEnglish
Published Vilnius University Press 01.03.2021
Subjects
actuator saturation
BAM neural network
fractional derivative
impulsive effect
Mittag–Leffler synchronization
optimal control
fractional derivative
optimal control
actuator saturation
Mittag–Leffler synchronization
BAM neural network
impulsive effect
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ISSN1392-5113
2335-8963
DOI10.15388/namc.2021.26.21203

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Summary:In this paper, we are concerned with the synchronization scheme for fractional-order bidirectional associative memory (BAM) neural networks, where both synaptic transmission delay and impulsive effect are considered. By constructing Lyapunov functional, sufficient conditions are established to ensure the Mittag–Leffler synchronization. Based on Pontryagin’s maximum principle with delay, time-dependent control gains are obtained, which minimize the accumulative errors within the limitation of actuator saturation during the Mittag–Leffler synchronization. Numerical simulations are carried out to illustrate the feasibility and effectiveness of theoretical results with the help of the modified predictor-corrector algorithm and the forward-backward sweep method.
ISSN:1392-5113
2335-8963
DOI:10.15388/namc.2021.26.21203