Simplified synchronization criteria for complex dynamical networks with time-varying delays

M. J. Park, O. M. Kwon, Ju H. Park, S. M. Lee, E. J. Cha

Research output: Contribution to journalArticlepeer-review

Abstract

This paper proposes new delay-dependent synchronization criteria for complex dynamical networks with time-varying delays. By constructing a suitable Lyapunov-Krasovskii's functional and utilizing Finsler's lemma, a novel synchronization criterion for the networks were established in terms of linear matrix inequalities (LMIs) which can be easily solved by various effective optimization algorithms. Numerical examples were given to illustrate the effectiveness of the proposed methods.

Original languageEnglish
Pages (from-to)5387-5395
Number of pages9
JournalScientific Research and Essays
Volume6
Issue number25
StatePublished - 30 Oct 2011

Keywords

  • Complex networks
  • Linear matrix inequalities (LMIs)
  • Lyapunov method
  • Synchronization
  • Time-varying delays

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