Fixed-time synchronization of memristor-based BAM neural networks with time-varying discrete delay. (December 2017)

• Record Type: Journal Article
• Authors: Chen, Chuan; Li, Lixiang; Peng, Haipeng; Yang, Yixian
• Is Part Of: Neural networks. Volume 96(2017)
• Page Start: 47
• Page End: 54
• Publication Date: 2017-12
• Subjects: Fixed-time synchronization -- Memristor -- BAM neural networks -- Delays; 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.2017.08.012
• Languages: English
• ISSNs: 0893-6080

Abstract

Abstract: This paper is devoted to studying the fixed-time synchronization of memristor-based BAM neural networks (MBAMNNs) with discrete delay. Fixed-time synchronization means that synchronization can be achieved in a fixed time for any initial values of the considered systems. In the light of the double-layer structure of MBAMNNs, we design two similar feedback controllers. Based on Lyapunov stability theories, several criteria are established to guarantee that the drive and response MBAMNNs can realize synchronization in a fixed time. In particular, by changing the parameters of controllers, this fixed time can be adjusted to some desired value in advance, irrespective of the initial values of MBAMNNs. Numerical simulations are included to validate the derived results.