International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2572

Full Length Research Paper

Exponential chaos lag synchronization of nonlinear bloch equations

Choon Ki Ahn1, Chul Dong Lee2 and Moon Kyou Song1
1Division of Electronics and Control Engineering, Wonkwang University, 344-2 Shinyong-dong, Iksan 570-749, Korea. 2Jeonbuk Embedded System Research Center, Korea Electronics Technology Institute, 864-9 Dunsan-ri, Bongdong-eup, Wanju-gun, Jeonbuk 565-902, Korea
Email: [email protected]

  •  Accepted: 28 September 2009
  •  Published: 30 November 2009

Abstract

This paper proposes a new exponential lag synchronization (ELS) method for chaotic behavior in nonlinear Bloch equations. An ELS controller that is based on Lyapunov theory and linear matrix inequality (LMI) approach is presented to guarantee the exponential synchronization of drive and response systems. The proposed controller can be obtained by solving a convex optimization problem represented by the LMI. A simulation study is presented to demonstrate the effectiveness of the proposed synchronization scheme. 

 

Key words: Exponential lag synchronization (ELS), non-linear Bloch equations, linear matrix inequality (LMI), Lyapunov theory.

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