Topology identification of uncertain nonlinearly coupled complex networks with delays based on anticipatory synchronization

Yanqiu Che, Ruixue Li, Chunxiao Han, Shigang Cui, Jiang Wang, Xile Wei, Bin Deng

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

Abstract

This paper presents an adaptive anticipatory synchronization based method for simultaneous identification of topology and parameters of uncertain nonlinearly coupled complex dynamical networks with time delays. An adaptive controller is proposed, based on Lyapunov stability theorem and Barbǎlat's Lemma, to guarantee the stability of the anticipatory synchronization manifold between drive and response networks. Meanwhile, not only the identification criteria of network topology and system parameters are obtained but also the anticipatory time is identified. Numerical simulation results illustrate the effectiveness of the proposed method.

Original languageEnglish (US)
Article number013127
JournalChaos
Volume23
Issue number1
DOIs
StatePublished - Mar 18 2013

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)
  • Applied Mathematics

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