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Asymptotic and Finite-Time Cluster Synchronization of Coupled Fractional-Order Neural Networks with Time Delay

  • Peng Liu
  • , Zhigang Zeng
  • , Jun Wang*
  • *Corresponding author for this work

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

Abstract

This article is devoted to the cluster synchronization issue of coupled fractional-order neural networks. By introducing the stability theory of fractional-order differential systems and the framework of Filippov regularization, some sufficient conditions are derived for ascertaining the asymptotic and finite-Time cluster synchronization of coupled fractional-order neural networks, respectively. In addition, the upper bound of the settling time for finite-Time cluster synchronization is estimated. Compared with the existing works, the results herein are applicable for fractional-order systems, which could be regarded as an extension of integer-order ones. A numerical example with different cases is presented to illustrate the validity of theoretical results.
Original languageEnglish
Article number8961184
Pages (from-to)4956-4967
JournalIEEE Transactions on Neural Networks and Learning Systems
Volume31
Issue number11
Online published16 Jan 2020
DOIs
Publication statusPublished - Nov 2020

Research Keywords

  • Filippov solution
  • finite-Time cluster synchronization
  • fractional-order neural networks

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