A new robust synchronization method between two different chaotic systems with disturbance

Choon Ki Ahn, Su Chong Joo

Research output: Contribution to journalArticle

Abstract

This paper proposes a new input-to-state stable (ISS) synchronization scheme for two different chaotic systems with disturbance. Based on linear matrix inequality (LMI) formulation, the ISS synchronization controller is presented to not only guarantee the exponential synchronization between two different chaotic systems, but also achieve the bounded synchronization error for any bounded disturbance. The ISS synchronization controller can be obtained by solving LMI. The synchronization problem between Rossler system and Genesio-Tesi system is investigated via numerical simulation.

Original languageEnglish
Pages (from-to)2487-2493
Number of pages7
JournalScientific Research and Essays
Volume6
Issue number12
Publication statusPublished - 2011 Jun 18
Externally publishedYes

Keywords

  • Input-to-state stable (ISS) synchronization
  • Linear matrix inequality (LMI)
  • Lyapunov theory
  • Two different chaotic systems

ASJC Scopus subject areas

  • Biochemistry, Genetics and Molecular Biology(all)
  • Agricultural and Biological Sciences(all)
  • Engineering(all)
  • Physics and Astronomy(all)

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