Adaptive functional projective lag synchronization of Lorenz system

Tae H. Lee, J. H. Park, S. M. Lee, H. Y. Jung

Research output: Contribution to journalArticlepeer-review

Abstract

This paper addresses functional projective lag synchronization of Lorenz system with four unknown parameters, where the output of the master system lags behind the output of the slave system proportionally. For this purpose, an adaptive control law is proposed to make the states of two identical Lorenz systems asymptotically synchronize up. Based on Lyapunov stability theory, a novel criterion is given for asymptotical stability of the null solution of an error dynamics. Finally, some numerical examples are provided to show the effectiveness of our results.

Original languageEnglish
Pages (from-to)327-329
Number of pages3
JournalWorld Academy of Science, Engineering and Technology
Volume36
StatePublished - Dec 2009

Keywords

  • Adaptive function projective synchronization
  • Chaotic system
  • Lag synchronization
  • Lyapunov method

Fingerprint

Dive into the research topics of 'Adaptive functional projective lag synchronization of Lorenz system'. Together they form a unique fingerprint.

Cite this