Input-to-state stable (ISS) and exponential chaotic lag synchronization

Choon Ki Ahn, Moon Kyou Song

Research output: Contribution to journalArticlepeer-review


In this paper, the lag synchronization problem is considered for chaotic dynamical systems with external disturbance via input-to-state stability (ISS). A sufficient condition for determining the lag synchronization between the drive and corresponding response systems is derived based on Lyapunov theory. The proposed ISS lag synchronization controller guarantees the exponential lag synchronization and achieves the bounded lag synchronization error for any bounded disturbance. The effectiveness of the proposed schemes is verified via numerical simulation.

Original languageEnglish
Pages (from-to)2762-2767
Number of pages6
JournalInternational Journal of Physical Sciences
Issue number11
Publication statusPublished - 2011 Jun 4
Externally publishedYes


  • Chaotic systems
  • Input-to-state stability (ISS)
  • Lag synchronization
  • Linear matrix inequality (LMI)
  • Lyapunov theory

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • General Physics and Astronomy


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