A passivity approach to synchronization for time-delayed chaotic systems

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Abstract

In this letter, we propose a new passivity-based synchronization method for time-delayed chaotic systems. Based on Lyapunov-Krasovskii theory and linear matrix inequality (LMI) approach, the passivity-based controller is presented to make the synchronization error system for time-delayed chaotic systems not only passive but also asymptotically stable. The proposed controller can be obtained by solving a convex optimization problem represented by the LMI. As an application of the proposed method, the synchronization problem for chaotic delayed Hopfield neural networks is investigated.

Original languageEnglish
Pages (from-to)3531-3541
Number of pages11
JournalModern Physics Letters B
Volume23
Issue number29
DOIs
Publication statusPublished - 2009 Nov 20

Keywords

  • Linear matrix inequality (LMI)
  • Lyapunov-Krasovskii theory
  • Passivity-based synchronization
  • Time-delayed chaotic systems

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Condensed Matter Physics

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