Controller design for global fixed-time synchronization of delayed neural networks with discontinuous activations. (March 2017)

• Record Type: Journal Article
• Authors: Wang, Leimin; Zeng, Zhigang; Hu, Junhao; Wang, Xiaoping
• Is Part Of: Neural networks. Volume 87(2017)
• Page Start: 122
• Page End: 131
• Publication Date: 2017-03
• Subjects: Delayed neural networks -- Discontinuous activations -- Global fixed-time synchronization -- Adaptive control -- State feedback 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.2016.12.006
• Languages: English
• ISSNs: 0893-6080

Abstract

Abstract: This paper addresses the controller design problem for global fixed-time synchronization of delayed neural networks (DNNs) with discontinuous activations. To solve this problem, adaptive control and state feedback control laws are designed. Then based on the two controllers and two lemmas, the error system is proved to be globally asymptotically stable and even fixed-time stable. Moreover, some sufficient and easy checked conditions are derived to guarantee the global synchronization of drive and response systems in fixed time. It is noted that the settling time functional for fixed-time synchronization is independent on initial conditions. Our fixed-time synchronization results contain the finite-time results as the special cases by choosing different values of the two controllers. Finally, theoretical results are supported by numerical simulations.