Projective synchronization analysis for BAM neural networks with time-varying delay via novel control
Articles
Malika Sader
Nankai University
https://orcid.org/0000-0002-3485-523X
Fuyong Wang
Nankai University
https://orcid.org/0000-0002-2747-9635
Zhongxin Liu
Nankai University
https://orcid.org/0000-0002-3565-4800
Zhongxin Chen
Nankai University
https://orcid.org/0000-0002-1415-4073
Published 2021-01-01
https://doi.org/10.15388/namc.2021.26.21204
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Keywords

BAM neural networks
projective synchronization
time-varying delay
adaptive controller

How to Cite

Sader M., Wang F., Liu Z. and Chen Z. (2021) “Projective synchronization analysis for BAM neural networks with time-varying delay via novel control”, Nonlinear Analysis: Modelling and Control, 26(1), pp. 41-56. doi: 10.15388/namc.2021.26.21204.

Abstract

In this paper, the projective synchronization of BAM neural networks with time-varying delays is studied. Firstly, a type of novel adaptive controller is introduced for the considered neural networks, which can achieve projective synchronization. Then, based on the adaptive controller, some novel and useful conditions are obtained to ensure the projective synchronization of considered neural networks. To our knowledge, different from other forms of synchronization, projective synchronization is more suitable to clearly represent the nonlinear systems’ fragile nature. Besides, we solve the projective synchronization problem between two different chaotic BAM neural networks, while most of the existing works only concerned with the projective synchronization chaotic systems with the same topologies. Compared with the controllers in previous papers, the designed controllers in this paper do not require any activation functions during the application process. Finally, an example is provided to show the effectiveness of the theoretical results.

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