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Impulsive Control for Synchronization of Lorenz Chaotic System
School of Mathematics and Statistics, Hainan Normal University, Haikou, Hainan, China
School of Mathematics and Statistics, Hainan Normal University, Haikou, Hainan, China
School of Mathematics and Statistics, Hainan Normal University, Haikou, Hainan, China
- 1 School of Mathematics and Statistics, Hainan Normal University, Haikou, Hainan, China
- 2 School of Mathematics and Statistics, Hainan Normal University, Haikou, Hainan, China
- 3 School of Mathematics and Statistics, Hainan Normal University, Haikou, Hainan, China
Journal of Software Engineering and Applications·Volume 05 (2013)·Pages 23–25·Published 17 January 2013·DOI10.4236/jsea.2012.512B005
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Abstract
Chaotic synchronization is the key technology of secure communication. In this paper, an impulsive control method for chaotic synchronization of two coupled Lorenz chaotic system was proposed. The global asymptotic synchronization of two Lorenz systems was realized by using the linear error feedback of the state variables of the drive system and the response system as impulsive control signal. Based on stability theory of impulsive differential equation, conditions were obtained to guarantee the global asymptotic synchronization of two Lorenz systems. The theory analysis and computer simulation results validated its effectiveness.
KeywordsLorenz systemImpulsive controlSynchronization
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