Generalized pinning synchronization of delayed Cohen–Grossberg neural networks with discontinuous activations. (August 2018)

• Record Type: Journal Article
• Authors: Wang, Dongshu; Huang, Lihong; Tang, Longkun; Zhuang, Jinsen
• Is Part Of: Neural networks. Volume 104(2018)
• Page Start: 80
• Page End: 92
• Publication Date: 2018-08
• Subjects: Generalized pinning state-feedback control -- Generalized pinning adaptive control -- Global exponential synchronization -- Global asymptotical synchronization -- Discontinuous neuron activation -- Cohen–Grossberg neural networks; 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.2018.04.006
• Languages: English
• ISSNs: 0893-6080

Abstract

Abstract: In this article, generalized pinning synchronization problem is investigated for a class of Cohen–Grossberg neural networks with discontinuous neuron activations and mixed delays. By designing generalized pinning state-feedback and adaptive controllers, several criteria for global exponential synchronization and global asymptotical synchronization of the drive–response based system are obtained in view of non-smooth analysis theory with generalized Lyapunov functional method, in which first pinning the neurons with very small self-inhibition and small amplification functions is pointed out. Some numerical examples are given to illustrate the feasibility of the obtained results.