Pinning synchronization of memristor-based neural networks with time-varying delays. (September 2017)

• Record Type: Journal Article
• Authors: Yang, Zhanyu; Luo, Biao; Liu, Derong; Li, Yueheng
• Is Part Of: Neural networks. Volume 93(2017)
• Page Start: 143
• Page End: 151
• Publication Date: 2017-09
• Subjects: Memristor-based neural networks -- Pinning control -- Time-varying delays -- Exponential synchronization -- Asymptotic synchronization; 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.2017.05.003
• Languages: English
• ISSNs: 0893-6080

Abstract

Abstract: In this paper, the synchronization of memristor-based neural networks with time-varying delays via pinning control is investigated. A novel pinning method is introduced to synchronize two memristor-based neural networks which denote drive system and response system, respectively. The dynamics are studied by theories of differential inclusions and nonsmooth analysis. In addition, some sufficient conditions are derived to guarantee asymptotic synchronization and exponential synchronization of memristor-based neural networks via the presented pinning control. Furthermore, some improvements about the proposed control method are also discussed in this paper. Finally, the effectiveness of the obtained results is demonstrated by numerical simulations.