Scientific Research and Essays

  • Abbreviation: Sci. Res. Essays
  • Language: English
  • ISSN: 1992-2248
  • DOI: 10.5897/SRE
  • Start Year: 2006
  • Published Articles: 2755

Full Length Research Paper

Functional projective lag synchronization of chaotic systems with disturbances

  Tae H. Lee1, Ju H. Park1* and Sang-Choel Lee2        
  1Nonlinear Dynamics Group, Department of Electrical Engineering, Yeungnam University, 214-1 Dae-Dong, Kyongsan 712-749, Republic of Korea. 2Public and Original Technology Research Center, Daegu-Gyungbuk Institute of Science and Technology (DGIST), 711 Hosan-dong, Taegu 790-784, Republic of Korea.
Email: [email protected]

  •  Accepted: 22 April 2010
  •  Published: 31 May 2010

Abstract

 

This paper considers the synchronization problem of chaotic systems. Functional projective lag synchronization (FPLS), which is a generalized synchronization concept recently developed, was investigated. Based on Lyapunov stability theory, a novel stability criterion for the synchronization between master and slave chaotic systems was derived. The proposed method was applied to unified chaotic systems in order to show the effectiveness of our results.

 

Key words: Chaotic system, functional projective synchronization, lag synchronization, lyapunov method.