A passivity based synchronization between two different chaotic systems

Choon Ki Ahn, Sung Tae Jung, Su Chong Joo

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

Abstract

In this paper, we propose a new passivity-based synchronization method for two different chaotic systems. Based on Lyapunov stability theory and linear matrix inequality (LMI) approach, the passivity-based controller is presented to make the synchronization error system between two different chaotic systems not only passive but also asymptotically stable. It is shown that the proposed controller can be obtained by solving the LMI, which can be easily facilitated by using some standard numerical packages. As an application of the proposed method, the synchronization problem between Rossler system and Genesio-Tesi system is investigated.

Original languageEnglish
Pages (from-to)287-292
Number of pages6
JournalInternational Journal of Physical Sciences
Volume5
Issue number4
Publication statusPublished - 2010 Apr
Externally publishedYes

Keywords

  • Linear matrix inequality (LMI)
  • Lyapunov stability theory
  • Passivity-based synchronization
  • Two different chaotic systems

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Physics and Astronomy(all)

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