Adaptive dual synchronization of chaotic and hyperchaotic systems with fully uncertain parameters

A. Almatroud Othman, Mohd. Salmi Md. Noorani, M. Mossa Al-sawalha

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

The adaptive dual synchronization problem of chaotic and hyperchaotic systems with fully uncertain parameters is addressed in this paper. The sufficient conditions for achieving the dual synchronization of two chaotic and hyperchaotic systems are derived based on Lyapunov stability theory. An adaptive controller associated with the parameters update rule is developed to make the states of two chaotic and hyperchaotic systems asymptotically dual synchronized. Theoretical analysis and numerical simulations are shown to verify the results.

Original languageEnglish
Pages (from-to)7852-7864
Number of pages13
JournalOptik
Volume127
Issue number19
DOIs
Publication statusPublished - 1 Oct 2016

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synchronism
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controllers
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Keywords

  • Adaptive control
  • Dual synchronization
  • Lyapunov stability theory
  • Uncertain parameters

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Electrical and Electronic Engineering
  • Atomic and Molecular Physics, and Optics

Cite this

Adaptive dual synchronization of chaotic and hyperchaotic systems with fully uncertain parameters. / Almatroud Othman, A.; Md. Noorani, Mohd. Salmi; Al-sawalha, M. Mossa.

In: Optik, Vol. 127, No. 19, 01.10.2016, p. 7852-7864.

Research output: Contribution to journalArticle

Almatroud Othman, A. ; Md. Noorani, Mohd. Salmi ; Al-sawalha, M. Mossa. / Adaptive dual synchronization of chaotic and hyperchaotic systems with fully uncertain parameters. In: Optik. 2016 ; Vol. 127, No. 19. pp. 7852-7864.
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