title: Decentralized event-triggered synchronization of uncertain Markovian jumping neutral-type neural networks with mixed delays.
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.
authors.affiliation: Istanbul University, Department of Computer Engineering, 34320 Avcilar, Istanbul, Turkey. Electronic address: ssenan@istanbul.edu.tr.
authors.forename: Sibel
authors.initials: S
authors.lastname: Senan
authors.affiliation: Department of Mathematics, Thiruvalluvar University, Vellore-632115, Tamil Nadu, India. Electronic address: syedgru@gmail.com.
authors.forename: M
authors.initials: M
authors.lastname: Syed Ali
authors.affiliation: Department of Mathematics, Thiruvalluvar University, Vellore-632115, Tamil Nadu, India. Electronic address: vadivelsr@yahoo.com.
authors.forename: R
authors.initials: R
authors.lastname: Vadivel
authors.affiliation: Istanbul University, Department of Computer Engineering, 34320 Avcilar, Istanbul, Turkey. Electronic address: arik@istanbul.edu.tr.
authors.forename: Sabri
authors.initials: S
authors.lastname: Arik
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D008390:Markov Chains; D016571:Neural Networks, Computer; D013269:Stochastic Processes; D013997:Time Factors; D035501:Uncertainty
keywords: Event-triggered communication scheme; Lyapunov–Krasovskii functional; Markovian jumping; Neural network; Synchronization