PID control of Hopf bifurcation of delayed small-world networks with fractional-order dynamics

Min Xiao, Binbin Tao, Wei Xing Zheng

Research output: Chapter in Book / Conference PaperConference Paperpeer-review

1 Citation (Scopus)

Abstract

![CDATA[This paper investigates the problem of controlling Hopf bifurcation of delayed small-world networks with fractional-order dynamics. Specifically, a fractional-order PID feedback controller is designed to realize control of the Hopf bifurcation that is embedded in delayed small-world networks with fractional-order dynamics. The characteristic equation of the controlled fractional-order network is analyzed, which yields the useful conditions for stability as well as Hopf bifurcation. Moreover, the analysis reveals that the control parameters of the fractional-order PID feedback control scheme may be varied to have a significant effect on the bifurcation dynamics of the controlled small-world network with fractional-order dynamics. The theoretical findings are also confirmed through computer simulations.]]
Original languageEnglish
Title of host publicationProceedings IEEE CCTA 2019, 3rd IEEE Conference on Control Technology and Applications, August 19-21, 2019, City University of Hong Kong, Hong Kong, China
PublisherIEEE
Pages529-534
Number of pages6
ISBN (Print)9781728127675
DOIs
Publication statusPublished - 2019
EventIEEE Conference on Control Technology and Applications -
Duration: 19 Aug 2019 → …

Conference

ConferenceIEEE Conference on Control Technology and Applications
Period19/08/19 → …

Keywords

  • Hopf algebras
  • feedback control systems
  • fractional calculus

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