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Synchronization of a Class of Memristive Stochastic Bidirectional Associative Memory Neural Networks with Mixed Time-Varying Delays via Sampled-Data Control

  • Manman Yuan
  • , Weiping Wang
  • , Xiong Luo
  • , Chao Ge
  • , Lixiang Li
  • , Jürgen Kurths
  • , Wenbing Zhao
  • University of Science and Technology Beijing
  • North China University of Science and Technology
  • Beijing University of Posts and Telecommunications
  • Potsdam Institute for Climate Impact Research
  • Cleveland State University

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

The paper addresses the issue of synchronization of memristive bidirectional associative memory neural networks (MBAMNNs) with mixed time-varying delays and stochastic perturbation via a sampled-data controller. First, we propose a new model of MBAMNNs with mixed time-varying delays. In the proposed approach, the mixed delays include time-varying distributed delays and discrete delays. Second, we design a new method of sampled-data control for the stochastic MBAMNNs. Traditional control methods lack the capability of reflecting variable synaptic weights. In this paper, the methods are carefully designed to confirm the synchronization processes are suitable for the feather of the memristor. Third, sufficient criteria guaranteeing the synchronization of the systems are derived based on the derive-response concept. Finally, the effectiveness of the proposed mechanism is validated with numerical experiments.
Original languageEnglish
Article number9126183
JournalMathematical Problems in Engineering
Volume2018
DOIs
StatePublished - Jan 1 2018

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