Synchronization of a time-varying delayed complex dynamical network with nonidentical nodes and free coupling matrix

Tae Hee Lee, Ju H. Park, O. M. Kwon, S. M. Lee

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

3 Scopus citations

Abstract

This paper is concerned with the problem of inner synchronization for a time-varying delayed complex network which consists of nonidentical nodes and free coupling matrix. The static gain feedback controller has been proposed to achieve the synchronization. Based on Lyapunov stability theory and LMI (linear matrix inequality) approach, a delay-dependent stability criterion which guarantees the asymptotic synchronization of the complex network, is established. The criterion is expressed in terms of LMI which can be easily solved by standard convex optimization algorithms. Finally, a numerical simulation is given to illustrate the proposed method.

Original languageEnglish
Title of host publicationICCAS 2011 - 2011 11th International Conference on Control, Automation and Systems
Pages1837-1840
Number of pages4
StatePublished - 2011
Event2011 11th International Conference on Control, Automation and Systems, ICCAS 2011 - Gyeonggi-do, Korea, Republic of
Duration: 26 Oct 201129 Oct 2011

Publication series

NameInternational Conference on Control, Automation and Systems
ISSN (Print)1598-7833

Conference

Conference2011 11th International Conference on Control, Automation and Systems, ICCAS 2011
Country/TerritoryKorea, Republic of
CityGyeonggi-do
Period26/10/1129/10/11

Keywords

  • Complex dynamical network
  • free coupling matrix
  • Lyapunov method
  • nonidentical node
  • synchronization
  • time-varying delay

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