Decentralized event-triggered synchronization of uncertain Markovian jumping neutral-type neural networks with mixed delays. (February 2017)

• Record Type: Journal Article
• Authors: Senan, Sibel; Syed Ali, M.; Vadivel, R.; Arik, Sabri
• Is Part Of: Neural networks. Volume 86(2017)
• Page Start: 32
• Page End: 41
• Publication Date: 2017-02
• Subjects: Event-triggered communication scheme -- Lyapunov–Krasovskii functional -- Markovian jumping -- Neural network -- 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.2016.10.003
• Languages: English
• ISSNs: 0893-6080

Abstract

Abstract: In this study, we present an approach for the decentralized event-triggered synchronization of Markovian jumping neutral-type neural networks with mixed delays. We present a method for designing decentralized event-triggered synchronization, which only utilizes locally available information, in order to determine the time instants for transmission from sensors to a central controller. By applying a novel Lyapunov–Krasovskii functional, as well as using the reciprocal convex combination method and some inequality techniques such as Jensen's inequality, we obtain several sufficient conditions in terms of a set of linear matrix inequalities (LMIs) under which the delayed neural networks are stochastically stable in terms of the error systems. Finally, we conclude that the drive systems synchronize stochastically with the response systems. We show that the proposed stability criteria can be verified easily using the numerically efficient Matlab LMI toolbox. The effectiveness and feasibility of the results obtained are verified by numerical examples.