International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2557

Full Length Research Paper

Input-to-state stable (ISS) and exponential chaotic lag synchronization

Choon Ki Ahn1* and Moon Kyou Song2
1Department of Automotive Engineering, Seoul National University of Science andTechnology, 172 Gongneung 2-dong, Nowon-gu, Seoul 139-743, Korea. 2Division of Electronics and Control Engineering, Wonkwang University, 344-2 Shinyong-dong, Iksan 570-749, Korea.
Email: [email protected]

  •  Accepted: 10 May 2011
  •  Published: 04 June 2011


In this paper, the lag synchronization problem is considered for chaotic dynamical systems with external disturbance via input-to-state stability (ISS). A sufficient condition for determining the lag synchronization between the drive and corresponding response systems is derived based on Lyapunov theory. The proposed ISS lag synchronization controller guarantees the exponential lag synchronization and achieves the bounded lag synchronization error for any bounded disturbance. The effectiveness of the proposed schemes is verified via numerical simulation.


Key words: Input-to-state stability (ISS), chaotic systems, lag synchronization, linear matrix inequality (LMI), Lyapunov theory.