Adaptive anti-synchronization of chaotic systems with fully unknown parameters

M. Mossa Al-sawalha, Mohd. Salmi Md. Noorani, M. M. Al-dlalah

Research output: Contribution to journalArticle

41 Citations (Scopus)

Abstract

This paper centers on the chaos anti-synchronization between two identical or different chaotic systems using adaptive control. The sufficient conditions for achieving the anti-synchronization of two chaotic systems are derived based on Lyapunov stability theory. An adaptive control law and a parameter update rule for unknown parameters are introduced such that the Chen system is controlled to be the Lorenz system. Theoretical analysis and numerical simulations are shown to verify the results.

Original languageEnglish
Pages (from-to)3234-3244
Number of pages11
JournalComputers and Mathematics with Applications
Volume59
Issue number10
DOIs
Publication statusPublished - May 2010

Fingerprint

Anti-synchronization
Chaotic systems
Adaptive Control
Unknown Parameters
Chaotic System
Synchronization
Chen System
Lorenz System
Lyapunov Stability Theory
Chaos theory
Theoretical Analysis
Chaos
Update
Verify
Numerical Simulation
Sufficient Conditions
Computer simulation

Keywords

  • Adaptive control
  • Anti-synchronization
  • Chen system
  • Lorenz system
  • Unknown parameters

ASJC Scopus subject areas

  • Computational Theory and Mathematics
  • Modelling and Simulation
  • Computational Mathematics

Cite this

Adaptive anti-synchronization of chaotic systems with fully unknown parameters. / Mossa Al-sawalha, M.; Md. Noorani, Mohd. Salmi; Al-dlalah, M. M.

In: Computers and Mathematics with Applications, Vol. 59, No. 10, 05.2010, p. 3234-3244.

Research output: Contribution to journalArticle

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