Impulsive Synchronization of Discrete Chaotic Systems
ZHENG Yong-Ai1, NIAN Yi-Bei2, LIU Zeng-Rong3
1Department of Mathematics, Yangzhou University, Yangzhou 225006
2School of Electrical and Information Engineering, Jiangsu University, Zhenjiang 212013
3Department of Mathematics, Shanghai University, Shanghai 200436
Impulsive Synchronization of Discrete Chaotic Systems
ZHENG Yong-Ai1;NIAN Yi-Bei2;LIU Zeng-Rong3
1Department of Mathematics, Yangzhou University, Yangzhou 225006
2School of Electrical and Information Engineering, Jiangsu University, Zhenjiang 212013
3Department of Mathematics, Shanghai University, Shanghai 200436
Abstract: Impulsive synchronization of two chaotic maps is reformulated as impulsive control of the synchronization error system. We then present a theorem on the asymptotic synchronization of two chaotic maps by using synchronization impulses with varying impulsive intervals. As an example and application of the theorem, we derives some sufficient conditions for the synchronization of two chaotic Lozi maps via impulsive control. The effectiveness of this approach has been demonstrated with chaotic Lozi map.