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Intermittent Control Strategy for Synchronization Analysis of Time-Varying Complex Dynamical Networks

  • Yongbao Wu
  • , Hanzheng Li
  • , Wenxue Li*
  • *Corresponding author for this work
  • Harbin Institute of Technology Weihai

Research output: Contribution to journalArticlepeer-review

Abstract

The p th moment exponential synchronization (PMES) problem for time-varying complex dynamical networks (CDNs) with multiple time-varying delays (TCDNMTDs) by aperiodically intermittent control is studied in this paper. Compared with related work, the coupling structure of CDNs is time varying. Also, internal time-varying delays and coupling time-varying delays are taken into consideration and they are different from each other. It is worth emphasizing that the intermittent control scheme proposed here is nonperiodical. Some criteria are derived to make TCDNMTDs achieve PMES by using the Lyapunov method and graph theory. Additionally, we also consider the synchronization of second-order Kuramoto oscillators and coupled Chua's circuits and some numerical simulations are presented to verify the validity of our results.

Original languageEnglish
Article number8738856
Pages (from-to)3251-3262
Number of pages12
JournalIEEE Transactions on Systems, Man, and Cybernetics: Systems
Volume51
Issue number5
DOIs
StatePublished - May 2021
Externally publishedYes

Keywords

  • Aperiodically intermittent control (AIC)
  • multiple time-varying delays
  • pth moment exponential synchronization (PMES)
  • time-varying complex dynamical networks (CDNs)

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