期刊
NEURAL NETWORKS
卷 153, 期 -, 页码 152-163出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.neunet.2022.05.031
关键词
Complex-valued neural networks; Bidirectional associative memory neural; networks; Memristor; Predefined-time stability
资金
- National Natural Science Foundation of China [62103165, 62101213, 62032002]
- Shandong Province Natural Science Foundation of China [ZR2021MF090, ZR2020QF107, ZR2020MF137, ZR2019MF040, ZR2019MH106, ZR2018BF023]
- Natural Science Foundation of Beijing Municipality [M21034]
- China Postdoctoral Science Foundation [2017M612178]
In this paper, two novel and general predefined-time stability lemmas are proposed and applied to the predefined-time synchronization problem of memristive complex-valued bidirectional associative memory neural networks (MCVBAMNNs). The effectiveness of the results is verified through numerical simulation. A secure communication scheme based on the predefined-time synchronization of MCVBAMNNs is also proposed.
In this paper, two novel and general predefined-time stability lemmas are given and applied to the predefined-time synchronization problem of memristive complex-valued bidirectional associative memory neural networks (MCVBAMNNs). Firstly, different from the generally fixed-time stability lemma, the setting of an adjustable time parameter in the derived predefined-time stability lemma causes it to be more flexible and more general. Secondly, the model studied in the complexvalued BAM neural networks model, which is different from the previous discussion of the real part and imaginary part respectively. It is more practical to study the complex-valued nonseparation. Thirdly, two effective controllers are designed to realize the synchronization performance of BAM neural networks based on the predefined-time stability, and the analysis is given based on general predefined-time synchronization. Finally, the correctness of the theoretical derivation is verified by numerical simulation. A secure communication scheme based on predefined-time synchronization of MCVBAMNNs is proposed, and the effectiveness and superiority of the results are proved. (c) 2022 Elsevier Ltd. All rights reserved.
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