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Quasisynchronization of Memristive Neural Networks With Communication Delays via Event-Triggered Impulsive Control

Yufeng Zhou, Hao Zhang, Zhigang Zeng

2020IEEE Transactions on Cybernetics34 citationsDOI

Abstract

This article considers the quasisynchronization of memristive neural networks (MNNs) with communication delays via event-triggered impulsive control (ETIC). In view of the limited communication and bandwidth, we adopt a novel switching event-triggered mechanism (ETM) that not only decreases the times of controller update and the amount of data sent out but also eliminates the Zeno behavior. By using an appropriate Lyapunov function, several algebraic conditions are given for quasisynchronization of MNNs with communication delays. More important, there is no restriction on the derivation of the Lyapunov function, even if it is an increasing function over a period of time. Then, we further propose a switching ETM depending on communication delays and aperiodic sampling, which is more economical and practical and can directly avoid Zeno behavior. Finally, two simulations are presented to validate the effectiveness of the proposed results.

Topics & Concepts

Zeno's paradoxesAperiodic graphComputer scienceControl theory (sociology)Lyapunov functionArtificial neural networkSynchronization (alternating current)CorrectnessController (irrigation)Function (biology)Control (management)Artificial intelligenceMathematicsAlgorithmTelecommunicationsNonlinear systemChannel (broadcasting)CombinatoricsQuantum mechanicsEvolutionary biologyPhysicsAgronomyGeometryBiologyNeural Networks Stability and SynchronizationAdvanced Memory and Neural Computingstochastic dynamics and bifurcation