A switching control for finite-time synchronization of memristor-based BAM neural networks with stochastic disturbances
Articles
Liangchen Li
Army Engineering University
https://orcid.org/0000-0002-0323-0165
Rui Xu
Shanxi University
Qintao Gan
Army Engineering University
Jiazhe Lin
Army Engineering University
Published 2020-11-01
https://doi.org/10.15388/namc.2020.25.20557
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Keywords

finite-time synchronization
BAM neural networks
stochastic disturbances
switching controller

How to Cite

Li L., Xu R., Gan Q. and Lin J. (2020) “A switching control for finite-time synchronization of memristor-based BAM neural networks with stochastic disturbances”, Nonlinear Analysis: Modelling and Control, 25(6), pp. 958-979. doi: 10.15388/namc.2020.25.20557.

Abstract

This paper deals with the finite-time stochastic synchronization for a class of memristorbased bidirectional associative memory neural networks (MBAMNNs) with time-varying delays and stochastic disturbances. Firstly, based on the physical property of memristor and the circuit of MBAMNNs, a MBAMNNs model with more reasonable switching conditions is established. Then, based on the theory of Filippov’s solution, by using Lyapunov–Krasovskii functionals and stochastic analysis technique, a sufficient condition is given to ensure the finite-time stochastic synchronization of MBAMNNs with a certain controller. Next, by a further discussion, an errordependent switching controller is given to shorten the stochastic settling time. Finally, numerical simulations are carried out to illustrate the effectiveness of theoretical results.

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