International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2569

Full Length Research Paper

A passivity based synchronization between two different chaotic systems

Choon Ki Ahn, Sung-Tae Jung and Su-Chong Joo
Faculty of the Division of Electrical, Electronics and Information Engineering, Wonkwang University, 344-2 Shinyong-Dong, Iksan 570-749, Korea.
Email: [email protected]

  •  Accepted: 02 March 2010
  •  Published: 30 April 2010

Abstract

In this paper, we propose a new passivity-based synchronization method for two different chaotic systems. Based on Lyapunov stability theory and linear matrix inequality (LMI) approach, the passivity-based controller is presented to make the synchronization error system between two different chaotic systems not only passive but also asymptotically stable. It is shown that the proposed controller can be obtained by solving the LMI, which can be easily facilitated by using some standard numerical packages. As an application of the proposed method, the synchronization problem between Rossler system and Genesio-Tesi system is investigated. 

 

Key words: Passivity-based synchronization, two different chaotic systems, linear matrix inequality (LMI), Lyapunov stability theory.