Fixed-time pinning-controlled synchronization for coupled delayed neural networks with discontinuous activations. (August 2019)

• Record Type: Journal Article
• Authors: Lü, Hui; He, Wangli; Han, Qing-Long; Peng, Chen
• Is Part Of: Neural networks. Volume 116(2019)
• Page Start: 139
• Page End: 149
• Publication Date: 2019-08
• Subjects: Fixed-time synchronization -- Neural networks -- Discontinuous activations -- Pinning control; 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.2019.04.010
• Languages: English
• ISSNs: 0893-6080

Abstract

Abstract: This paper deals with the fixed-time synchronization problem of coupled delayed neural networks with discontinuous activations. Based on pinning control, a discontinuous controller is firstly proposed to guarantee that coupled neural networks achieve synchronization with a desired trajectory in finite time. Then, a discontinuous fixed-time controller is designed. With the fixed-time controller, the settling time can be estimated regardless of initial conditions. By providing a topology-dependent Lyapunov function, some criteria of finite-/fixed-time synchronization are derived. Finally, two numerical examples are given to show the effectiveness of the proposed controllers.