A new predefined-time stability theorem and its application in the synchronization of memristive complex-valued BAM neural networks. (September 2022)

• Record Type: Journal Article
• Authors: Liu, Aidi; Zhao, Hui; Wang, Qingjie; Niu, Sijie; Gao, Xizhan; Chen, Chuan; Li, Lixiang
• Is Part Of: Neural networks. Volume 153(2022)
• Page Start: 152
• Page End: 163
• Publication Date: 2022-09
• Subjects: Complex-valued neural networks -- Bidirectional associative memory neural networks -- Memristor -- Predefined-time stability; Neural computers -- Periodicals; Neural networks (Computer science) -- Periodicals; Neural networks (Neurobiology) -- Periodicals; Nervous System -- Periodicals; Ordinateurs neuronaux -- Périodiques; Réseaux neuronaux (Informatique) -- Périodiques; Réseaux neuronaux (Neurobiologie) -- Périodiques; Neural computers; Neural networks (Computer science); Neural networks (Neurobiology); Periodicals; 006.32
• DOI: 10.1016/j.neunet.2022.05.031
• Languages: English
• ISSNs: 0893-6080

Abstract

Abstract: 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 complex-valued 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.