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Synchronization of multi-links impulsive fractional-order complex networks via feedback control based on discrete-time state observations

  • Yao Xu
  • , Yanzhen Li
  • , Wenxue Li*
  • , Jiqiang Feng
  • *Corresponding author for this work
  • Harbin Institute of Technology Weihai
  • Shenzhen University

Research output: Contribution to journalArticlepeer-review

Abstract

This paper addresses the issue of global Mittag-Leffler synchronization of multi-links impulsive fractional-order complex networks (MIFCNs). A class of feedback control based on discrete-time state observations is first adopted for synchronization of MIFCNs. By combining Lyapunov method with graph-theoretic approach, a synchronization criterion for MIFCNs is derived. In particular, this synchronization criterion is related to the order of fractional derivatives, the parameters of control and the topological structure of networks. Furthermore, as an application of our theoretical results, synchronization of multi-links impulsive fractional-order BAM neural networks is studied in detail and a synchronization criterion is also provided. Finally, a numerical example is presented to illustrate the validity and feasibility of theoretical results.

Original languageEnglish
Pages (from-to)224-233
Number of pages10
JournalNeurocomputing
Volume406
DOIs
StatePublished - 17 Sep 2020
Externally publishedYes

Keywords

  • discrete-time state observations
  • fractional-order complex networks
  • impulsive effects
  • multiple links
  • synchronization

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