Mittag–Leffler synchronization for impulsive fractional-order bidirectional associative memory neural networks via optimal linear feedback control
Articles
Jiazhe Lin
Computational Aerodynamics Institute
Rui Xu
Shanxi University
Liangchen Li
Army Engineering University
https://orcid.org/0000-0002-0323-0165
Published 2021-03-01
https://doi.org/10.15388/namc.2021.26.21203
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Keywords

Mittag–Leffler synchronization
BAM neural network
fractional derivative
impulsive effect
optimal control
actuator saturation

How to Cite

Lin, J., Xu, R. and Li, L. (2021) “Mittag–Leffler synchronization for impulsive fractional-order bidirectional associative memory neural networks via optimal linear feedback control”, Nonlinear Analysis: Modelling and Control, 26(2), pp. 207–226. doi:10.15388/namc.2021.26.21203.

Abstract

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.

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