H∞ synchronization of a class of complex networks

Pingli Lu*, Ying Yang

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Citation (Scopus)

Abstract

This paper deals with H∞ synchronization problem for a class of complex networks with each node being a general Lur'e system with infinite equilibria. On the basis of the Lyapunov theory, linear matrix inequality (LMI) conditions guaranteeing the global asymptotic synchronization of all nodes with desired H∞ performance are established. In addition, the following interesting result is derived: the synchronization problem for the whole Nn-dimensional dynamic networks can be converted into the simple n-dimensional space in terms of only two LMIs. Finally, a concrete application to mutually coupled phase-locked loop networks shows the validity of the proposed approaches.

Original languageEnglish
Title of host publicationProceedings of the 31st Chinese Control Conference, CCC 2012
Pages1136-1141
Number of pages6
Publication statusPublished - 2012
Event31st Chinese Control Conference, CCC 2012 - Hefei, China
Duration: 25 Jul 201227 Jul 2012

Publication series

NameChinese Control Conference, CCC
ISSN (Print)1934-1768
ISSN (Electronic)2161-2927

Conference

Conference31st Chinese Control Conference, CCC 2012
Country/TerritoryChina
CityHefei
Period25/07/1227/07/12

Keywords

  • Decentralized static output feedback
  • H
  • infinite equilibria
  • linear matrix inequality(LMI)
  • synchronization

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